Analysis of biodiversity data
Setup
SAD curves
We can obtain the Species Abundance Distribution for our samples To
use the library {sads}, and the example data on moth
abundance.
## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [31] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2
## [46] 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3
## [61] 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4
## [76] 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6
## [91] 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8
## [106] 8 8 9 9 9 9 10 10 10 10 11 11 12 12 13
## [121] 13 13 13 13 14 14 15 15 15 15 16 16 16 17 17
## [136] 17 18 18 18 19 19 19 20 20 20 20 21 22 22 22
## [151] 23 23 23 24 25 25 25 26 27 28 28 28 29 29 32
## [166] 34 34 36 36 36 37 37 43 43 44 44 45 49 49 49
## [181] 51 51 51 51 52 53 54 54 57 58 58 60 60 60 61
## [196] 64 67 73 76 76 78 84 89 96 99 109 112 120 122 129
## [211] 135 141 148 149 151 154 177 181 187 190 199 211 221 226 235
## [226] 239 244 246 282 305 306 333 464 560 572 589 604 743 823 2349
Preston plot
First, we are going to obtain the Preston plot, also known as octaves. This plot represents the number of species in classes of logarithm of abundances at base 2.
## octave upper Freq
## 1 0 1 35
## 2 1 2 11
## 3 2 4 29
## 4 3 8 32
## 5 4 16 26
## 6 5 32 32
## 7 6 64 31
## 8 7 128 13
## 9 8 256 19
## 10 9 512 5
## 11 10 1024 6
## 12 11 2048 0
## 13 12 4096 1
## 14 13 8192 0
Whittaker diagram
We can also obtain the Whittaker plot for our data. This is the rank-abundance diagram
Species Abundance Distributions: fitting curves
We are going to fit some curves to the rank abundance plot
# build the model
moths.ge <- fitsad(x=moths, sad="geom") # geometric distribution
moths.ls <- fitsad(x=moths, sad="ls") # log series distribution
moths.ln <- fitsad(x=moths, sad="lnorm") #log-normal distribution
# get rank abundance objects
moths.ge.rad <- radpred(moths.ge)
moths.ls.rad <- radpred(moths.ls)
moths.ln.rad <- radpred(moths.ln)
# Plot the curves
plot(moths.ln.rad)plot(moths.ln.rad, xlab = "Rank", ylab = "Abundance", log = "y",
type = "l", col = "green", lty = 1, lwd = 6)# We can superimpose the curve to the rank plot
plot(moths.rad)
lines(moths.ge.rad, col="red")
lines(moths.ls.rad, col="blue")
lines(moths.ln.rad, col="green")
legend("topright",c("Geometric", "Logseries", "lognormal"),lty=1, col=c("red", "blue", "green"))## 'log Lik.' -1240.137 (df=1)
## 'log Lik.' -1087.713 (df=1)
## 'log Lik.' -1097.723 (df=2)
Alpha diversity
Shannon index
Let us calculate Shannon index using example data from the power point
birds1 <- data.frame(Species = c('BlueTit', 'Robin', 'Magpie',
'GreatTit'),
Abundance = rep(9, 4))
birds1## Species Abundance
## 1 BlueTit 9
## 2 Robin 9
## 3 Magpie 9
## 4 GreatTit 9
## now let us get the pi, ln(pi), N and S to calculate Shannon index
N <- sum(birds1$Abundance)
S <- nrow(birds1)
pi <- birds1$Abundance/N
lnpi <- log(pi)
H <- -sum(pi*lnpi)
H## [1] 1.386294
Community structure: {vegan} package
vegdist() function allows calculating multiple community dissimilarity indices.
# 1. transpose the data
birds1.transpose <- as.data.frame(t(birds1[, -1]))
colnames(birds1.transpose) <- birds1$Species
birds1.transpose## BlueTit Robin Magpie GreatTit
## 1 9 9 9 9
## [1] 1.386294
Properties of Diversity indices
Shannon diversity vs Hill numbers
If we have two communities with no species in common, the diversity of both together should be the sum of the diversities of each one
# We create a second community with no species in common with the first one
birds2 <- data.frame(Species = c('Sparrow', 'Dove', 'Crow'),
Abundance = c(4,5,20))
birds2 ## Species Abundance
## 1 Sparrow 4
## 2 Dove 5
## 3 Crow 20
# the transpose matrix for the analysis
birds2.transpose <- as.data.frame(t(birds2[, -1]))
colnames(birds2.transpose) <- birds2$Species
birds2.transpose## Sparrow Dove Crow
## 1 4 5 20
# Both communities in the same table
# transpose data and get sums
birds.both <- merge(birds1, birds2, by = 'Species', all = T)
birds.both$Abundance.x[is.na(birds.both$Abundance.x)] <- 0
birds.both$Abundance.y[is.na(birds.both$Abundance.y)] <- 0
birds.both## Species Abundance.x Abundance.y
## 1 BlueTit 9 0
## 2 Crow 0 20
## 3 Dove 0 5
## 4 GreatTit 9 0
## 5 Magpie 9 0
## 6 Robin 9 0
## 7 Sparrow 0 4
## [1] 9 20 5 9 9 9 4
both.trans <- as.data.frame(t(birds.both[, -1]))
colnames(both.trans) <- birds.both$Species
rownames(both.trans) <- c("birds1", "birds2")
both.trans## BlueTit Crow Dove GreatTit Magpie Robin Sparrow
## birds1 9 0 0 9 9 9 0
## birds2 0 20 5 0 0 0 4
all.trans <- colSums(both.trans)
# shannon diversity for each sample and for the sum
H1 <- diversity(both.trans, index = "shannon")
H2 <- diversity(all.trans, index = "shannon")
H1## birds1 birds2
## 1.3862944 0.8325713
## [1] 1.826586
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 4 4.000000 0.1000000 3.804004 4.195996
## Shannon diversity 4 4.174206 0.1675601 3.845795 4.502618
## Simpson diversity 4 4.375000 0.2709504 3.843947 4.906053
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 3.000000 3.000000 0.1407053 2.724223 3.275777
## Shannon diversity 2.299223 2.383059 0.2742475 1.845544 2.920574
## Simpson diversity 1.907029 1.970874 0.3260974 1.331735 2.610013
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 7.000000 7.000000 0.1580955 6.690139 7.309861
## Shannon diversity 6.212639 6.513826 0.4056592 5.718749 7.308904
## Simpson diversity 5.522876 5.942857 0.6754647 4.618971 7.266744
Hill Numbers
Get the Hill Number with q = 0 (Species richness)
Load data from the library about spider samples in two locations
## List of 2
## $ Girdled: num [1:26] 46 22 17 15 15 9 8 6 6 4 ...
## $ Logged : num [1:37] 88 22 16 15 13 10 8 8 7 7 ...
## Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1 Girdled 168 26 0.9289 12 4 0 1 0 2 0 1 1 0
## 2 Logged 252 37 0.9446 14 4 4 3 1 0 3 2 0 1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
example1$iNextEst## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 10 Rarefaction 0 6.478617 6.004450 6.952785 0.5969308
## 3 Girdled 19 Rarefaction 0 9.450323 8.590576 10.310069 0.7380651
## 4 Girdled 28 Rarefaction 0 11.514220 10.335644 12.692795 0.8034337
## 5 Girdled 37 Rarefaction 0 13.126817 11.662174 14.591461 0.8389628
## 6 Girdled 47 Rarefaction 0 14.622424 12.860187 16.384661 0.8623491
## 7 Girdled 56 Rarefaction 0 15.802849 13.782385 17.823313 0.8760357
## 8 Girdled 65 Rarefaction 0 16.877170 14.603806 19.150534 0.8858194
## 9 Girdled 74 Rarefaction 0 17.873934 15.351529 20.396340 0.8931774
## 10 Girdled 84 Rarefaction 0 18.912360 16.117032 21.707688 0.8995141
## 11 Girdled 93 Rarefaction 0 19.797701 16.759724 22.835678 0.9041168
## 12 Girdled 102 Rarefaction 0 20.644613 17.366331 23.922894 0.9080200
## 13 Girdled 111 Rarefaction 0 21.458439 17.941582 24.975295 0.9114464
## 14 Girdled 120 Rarefaction 0 22.242813 18.488356 25.997270 0.9145496
## 15 Girdled 130 Rarefaction 0 23.082755 19.064394 27.101115 0.9177469
## 16 Girdled 139 Rarefaction 0 23.812028 19.555236 28.068819 0.9204781
## 17 Girdled 148 Rarefaction 0 24.517097 20.020030 29.014164 0.9231226
## 18 Girdled 157 Rarefaction 0 25.198592 20.458457 29.938727 0.9257162
## 19 Girdled 167 Rarefaction 0 25.928571 20.913931 30.943212 0.9285714
## 20 Girdled 168 Observed 0 26.000000 20.957604 31.042396 0.9288554
## 21 Girdled 169 Extrapolation 0 26.071145 21.000935 31.141354 0.9291383
## 22 Girdled 177 Extrapolation 0 26.630211 21.335464 31.924959 0.9313612
## 23 Girdled 186 Extrapolation 0 27.238226 21.686865 32.789586 0.9337788
## 24 Girdled 195 Extrapolation 0 27.824825 22.013035 33.636614 0.9361112
## 25 Girdled 204 Extrapolation 0 28.390763 22.315141 34.466386 0.9383615
## 26 Girdled 212 Extrapolation 0 28.877064 22.564387 35.189740 0.9402951
## 27 Girdled 221 Extrapolation 0 29.405941 22.824078 35.987803 0.9423979
## 28 Girdled 230 Extrapolation 0 29.916190 23.062863 36.769517 0.9444268
## 29 Girdled 239 Extrapolation 0 30.408468 23.281774 37.535161 0.9463841
## 30 Girdled 248 Extrapolation 0 30.883406 23.481817 38.284996 0.9482726
## 31 Girdled 256 Extrapolation 0 31.291513 23.644582 38.938443 0.9498953
## 32 Girdled 265 Extrapolation 0 31.735349 23.811622 39.659077 0.9516600
## 33 Girdled 274 Extrapolation 0 32.163554 23.962526 40.364581 0.9533626
## 34 Girdled 283 Extrapolation 0 32.576676 24.098180 41.055172 0.9550052
## 35 Girdled 292 Extrapolation 0 32.975248 24.219433 41.731062 0.9565900
## 36 Girdled 300 Extrapolation 0 33.317733 24.315782 42.319683 0.9579518
## 37 Girdled 309 Extrapolation 0 33.690203 24.412026 42.968381 0.9594328
## 38 Girdled 318 Extrapolation 0 34.049555 24.496126 43.602984 0.9608616
## 39 Girdled 327 Extrapolation 0 34.396250 24.568793 44.223706 0.9622401
## 40 Girdled 336 Extrapolation 0 34.730733 24.630708 44.830759 0.9635701
## 41 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 14 Rarefaction 0 8.353329 7.757072 8.949586 0.5883461
## 43 Logged 28 Rarefaction 0 13.222439 12.133930 14.310948 0.7118410
## 44 Logged 42 Rarefaction 0 16.765525 15.257998 18.273053 0.7809656
## 45 Logged 56 Rarefaction 0 19.532844 17.658266 21.407423 0.8236635
## 46 Logged 70 Rarefaction 0 21.804004 19.595072 24.012935 0.8521804
## 47 Logged 84 Rarefaction 0 23.734513 21.213115 26.255911 0.8724155
## 48 Logged 98 Rarefaction 0 25.418159 22.600742 28.235576 0.8874459
## 49 Logged 112 Rarefaction 0 26.915447 23.815345 30.015548 0.8990090
## 50 Logged 126 Rarefaction 0 28.267510 24.895727 31.639293 0.9081562
## 51 Logged 139 Rarefaction 0 29.418556 25.802496 33.034617 0.9150769
## 52 Logged 153 Rarefaction 0 30.565961 26.693504 34.438418 0.9212585
## 53 Logged 167 Rarefaction 0 31.633749 27.509857 35.757641 0.9264196
## 54 Logged 181 Rarefaction 0 32.634744 28.262456 37.007031 0.9307716
## 55 Logged 195 Rarefaction 0 33.579251 28.959781 38.198720 0.9344627
## 56 Logged 209 Rarefaction 0 34.475787 29.608625 39.342949 0.9376004
## 57 Logged 223 Rarefaction 0 35.331544 30.214549 40.448538 0.9402668
## 58 Logged 237 Rarefaction 0 36.152671 30.782165 41.523177 0.9425289
## 59 Logged 251 Rarefaction 0 36.944444 31.315300 42.573589 0.9444444
## 60 Logged 252 Observed 0 37.000000 31.352149 42.647851 0.9445706
## 61 Logged 253 Extrapolation 0 37.055429 31.388839 42.722020 0.9446965
## 62 Logged 266 Extrapolation 0 37.764657 31.851404 43.677910 0.9463075
## 63 Logged 279 Extrapolation 0 38.453226 32.287606 44.618845 0.9478715
## 64 Logged 292 Extrapolation 0 39.121736 32.698056 45.545417 0.9493900
## 65 Logged 305 Extrapolation 0 39.770774 33.083452 46.458095 0.9508643
## 66 Logged 319 Extrapolation 0 40.448609 33.471365 47.425853 0.9524039
## 67 Logged 332 Extrapolation 0 41.058995 33.807273 48.310717 0.9537904
## 68 Logged 345 Extrapolation 0 41.651601 34.120691 49.182510 0.9551365
## 69 Logged 358 Extrapolation 0 42.226944 34.412533 50.041355 0.9564433
## 70 Logged 371 Extrapolation 0 42.785528 34.683728 50.887329 0.9577121
## 71 Logged 385 Extrapolation 0 43.368897 34.953759 51.784034 0.9590372
## 72 Logged 398 Extrapolation 0 43.894216 35.185036 52.603396 0.9602304
## 73 Logged 411 Extrapolation 0 44.404233 35.398497 53.409969 0.9613889
## 74 Logged 424 Extrapolation 0 44.899393 35.595027 54.203760 0.9625136
## 75 Logged 437 Extrapolation 0 45.380130 35.775485 54.984774 0.9636056
## 76 Logged 451 Extrapolation 0 45.882197 35.952804 55.811591 0.9647460
## 77 Logged 464 Extrapolation 0 46.334305 36.102499 56.566111 0.9657729
## 78 Logged 477 Extrapolation 0 46.773243 36.238576 57.307910 0.9667699
## 79 Logged 490 Extrapolation 0 47.199395 36.361764 58.037026 0.9677379
## 80 Logged 504 Extrapolation 0 47.644456 36.480814 58.808098 0.9687488
## SC.LCL SC.UCL
## 1 0.09035409 0.1542995
## 2 0.54524733 0.6486144
## 3 0.69570130 0.7804290
## 4 0.76606287 0.8408046
## 5 0.80428325 0.8736424
## 6 0.82923862 0.8954597
## 7 0.84376946 0.9083020
## 8 0.85416273 0.9174760
## 9 0.86199683 0.9243580
## 10 0.86873209 0.9302960
## 11 0.87357117 0.9346623
## 12 0.87758558 0.9384544
## 13 0.88099270 0.9419001
## 14 0.88394567 0.9451536
## 15 0.88682600 0.9486679
## 16 0.88914157 0.9518146
## 17 0.89125039 0.9549948
## 18 0.89318865 0.9582438
## 19 0.89517128 0.9619716
## 20 0.89536309 0.9623478
## 21 0.89555588 0.9627208
## 22 0.89712943 0.9655931
## 23 0.89895164 0.9686060
## 24 0.90080956 0.9714128
## 25 0.90268772 0.9740352
## 26 0.90436510 0.9762250
## 27 0.90625367 0.9785422
## 28 0.90813820 0.9807153
## 29 0.91001428 0.9827540
## 30 0.91187852 0.9846666
## 31 0.91352343 0.9862671
## 32 0.91535811 0.9879619
## 33 0.91717407 0.9895512
## 34 0.91896950 0.9910410
## 35 0.92074280 0.9924372
## 36 0.92229932 0.9936043
## 37 0.92402703 0.9948385
## 38 0.92572890 0.9959943
## 39 0.92740393 0.9970763
## 40 0.92905128 0.9980889
## 41 0.10952613 0.1794766
## 42 0.54606718 0.6306250
## 43 0.67526466 0.7484174
## 44 0.74876512 0.8131660
## 45 0.79422518 0.8531018
## 46 0.82466605 0.8796947
## 47 0.84640213 0.8984289
## 48 0.86264437 0.9122474
## 49 0.87516398 0.9228539
## 50 0.88502386 0.9312885
## 51 0.89239904 0.9377548
## 52 0.89886323 0.9436538
## 53 0.90411221 0.9487271
## 54 0.90837755 0.9531657
## 55 0.91182616 0.9570993
## 56 0.91458226 0.9606186
## 57 0.91674311 0.9637905
## 58 0.91838945 0.9666683
## 59 0.91959175 0.9692971
## 60 0.91966433 0.9694769
## 61 0.91973697 0.9696561
## 62 0.92068896 0.9719261
## 63 0.92166209 0.9740810
## 64 0.92266135 0.9761187
## 65 0.92368770 0.9780408
## 66 0.92482176 0.9799861
## 67 0.92589878 0.9816820
## 68 0.92699565 0.9832773
## 69 0.92810903 0.9847776
## 70 0.92923559 0.9861886
## 71 0.93045990 0.9876145
## 72 0.93160391 0.9888569
## 73 0.93275199 0.9900258
## 74 0.93390164 0.9911256
## 75 0.93505063 0.9921605
## 76 0.93628491 0.9932071
## 77 0.93742623 0.9941196
## 78 0.93856126 0.9949786
## 79 0.93968857 0.9957873
## 80 0.94089250 0.9966052
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.8796848
## 2 Girdled 0.5969305 10 Rarefaction 0 6.478611 5.1655748
## 3 Girdled 0.7380650 19 Rarefaction 0 9.450319 7.5389219
## 4 Girdled 0.8034337 28 Rarefaction 0 11.514219 9.0031827
## 5 Girdled 0.8389628 37 Rarefaction 0 13.126816 9.9652653
## 6 Girdled 0.8623492 47 Rarefaction 0 14.622425 10.6912230
## 7 Girdled 0.8760358 56 Rarefaction 0 15.802851 11.1602703
## 8 Girdled 0.8858194 65 Rarefaction 0 16.877170 11.5303264
## 9 Girdled 0.8931774 74 Rarefaction 0 17.873934 11.8460416
## 10 Girdled 0.8995141 84 Rarefaction 0 18.912361 12.1517237
## 11 Girdled 0.9041168 93 Rarefaction 0 19.797701 12.4221459
## 12 Girdled 0.9080200 102 Rarefaction 0 20.644611 12.6976939
## 13 Girdled 0.9114464 111 Rarefaction 0 21.458439 12.9576617
## 14 Girdled 0.9145496 120 Rarefaction 0 22.242813 13.2004454
## 15 Girdled 0.9177469 130 Rarefaction 0 23.082756 13.4495052
## 16 Girdled 0.9204781 139 Rarefaction 0 23.812027 13.6585614
## 17 Girdled 0.9231226 148 Rarefaction 0 24.517096 13.8466753
## 18 Girdled 0.9257162 157 Rarefaction 0 25.198591 14.0118583
## 19 Girdled 0.9285714 166 Rarefaction 0 25.867399 14.1110236
## 20 Girdled 0.9288554 168 Observed 0 26.000000 14.1852401
## 21 Girdled 0.9291383 169 Extrapolation 0 26.071145 14.1957328
## 22 Girdled 0.9313612 177 Extrapolation 0 26.630211 14.3049029
## 23 Girdled 0.9337788 186 Extrapolation 0 27.238226 14.4238074
## 24 Girdled 0.9361112 195 Extrapolation 0 27.824825 14.5390557
## 25 Girdled 0.9383615 204 Extrapolation 0 28.390763 14.6510379
## 26 Girdled 0.9402951 212 Extrapolation 0 28.877064 14.7468810
## 27 Girdled 0.9423979 221 Extrapolation 0 29.405941 14.8509206
## 28 Girdled 0.9444268 230 Extrapolation 0 29.916190 14.9496821
## 29 Girdled 0.9463841 239 Extrapolation 0 30.408468 15.0420143
## 30 Girdled 0.9482726 248 Extrapolation 0 30.883406 15.1349735
## 31 Girdled 0.9498953 256 Extrapolation 0 31.291513 15.2082618
## 32 Girdled 0.9516600 265 Extrapolation 0 31.735349 15.2845097
## 33 Girdled 0.9533626 274 Extrapolation 0 32.163554 15.3553569
## 34 Girdled 0.9550052 283 Extrapolation 0 32.576676 15.4198557
## 35 Girdled 0.9565900 292 Extrapolation 0 32.975248 15.4790029
## 36 Girdled 0.9579518 300 Extrapolation 0 33.317733 15.5277390
## 37 Girdled 0.9594328 309 Extrapolation 0 33.690203 15.5811345
## 38 Girdled 0.9608616 318 Extrapolation 0 34.049555 15.6293582
## 39 Girdled 0.9622401 327 Extrapolation 0 34.396250 15.6733684
## 40 Girdled 0.9635701 336 Extrapolation 0 34.730733 15.7135560
## 41 Logged 0.1445014 1 Rarefaction 0 1.000000 0.8540492
## 42 Logged 0.5883460 14 Rarefaction 0 8.353325 6.4859153
## 43 Logged 0.7118410 28 Rarefaction 0 13.222439 10.6343476
## 44 Logged 0.7809655 42 Rarefaction 0 16.765522 13.5411176
## 45 Logged 0.8236635 56 Rarefaction 0 19.532847 15.6392166
## 46 Logged 0.8521804 70 Rarefaction 0 21.804005 17.2076014
## 47 Logged 0.8724155 84 Rarefaction 0 23.734512 18.4333230
## 48 Logged 0.8874459 98 Rarefaction 0 25.418157 19.4055451
## 49 Logged 0.8990090 112 Rarefaction 0 26.915446 20.1311415
## 50 Logged 0.9081562 126 Rarefaction 0 28.267511 20.6071690
## 51 Logged 0.9150769 139 Rarefaction 0 29.418557 20.9328306
## 52 Logged 0.9212585 153 Rarefaction 0 30.565959 21.1791424
## 53 Logged 0.9264196 167 Rarefaction 0 31.633750 21.2954918
## 54 Logged 0.9307716 181 Rarefaction 0 32.634745 21.3816902
## 55 Logged 0.9344627 195 Rarefaction 0 33.579250 21.4873502
## 56 Logged 0.9376004 209 Rarefaction 0 34.475786 21.6321265
## 57 Logged 0.9402668 223 Rarefaction 0 35.331543 21.8228129
## 58 Logged 0.9425289 237 Rarefaction 0 36.152671 22.0595980
## 59 Logged 0.9444444 250 Rarefaction 0 36.892629 22.2901259
## 60 Logged 0.9445706 252 Observed 0 37.000000 22.3650750
## 61 Logged 0.9446965 253 Extrapolation 0 37.055429 22.3888346
## 62 Logged 0.9463075 266 Extrapolation 0 37.764657 22.6641379
## 63 Logged 0.9478715 279 Extrapolation 0 38.453226 22.9259194
## 64 Logged 0.9493900 292 Extrapolation 0 39.121736 23.1758310
## 65 Logged 0.9508643 305 Extrapolation 0 39.770774 23.4125465
## 66 Logged 0.9524039 319 Extrapolation 0 40.448609 23.6491830
## 67 Logged 0.9537904 332 Extrapolation 0 41.058995 23.8679591
## 68 Logged 0.9551365 345 Extrapolation 0 41.651601 24.0660249
## 69 Logged 0.9564433 358 Extrapolation 0 42.226944 24.2507385
## 70 Logged 0.9577121 371 Extrapolation 0 42.785528 24.4243883
## 71 Logged 0.9590372 385 Extrapolation 0 43.368897 24.5991088
## 72 Logged 0.9602304 398 Extrapolation 0 43.894216 24.7509894
## 73 Logged 0.9613889 411 Extrapolation 0 44.404233 24.8941624
## 74 Logged 0.9625136 424 Extrapolation 0 44.899393 25.0281384
## 75 Logged 0.9636056 437 Extrapolation 0 45.380130 25.1539246
## 76 Logged 0.9647460 451 Extrapolation 0 45.882197 25.2809768
## 77 Logged 0.9657729 464 Extrapolation 0 46.334305 25.3918473
## 78 Logged 0.9667699 477 Extrapolation 0 46.773243 25.4964369
## 79 Logged 0.9677379 490 Extrapolation 0 47.199395 25.5952262
## 80 Logged 0.9687488 504 Extrapolation 0 47.644456 25.6956257
## qD.UCL
## 1 1.120315
## 2 7.791648
## 3 11.361715
## 4 14.025255
## 5 16.288367
## 6 18.553627
## 7 20.445431
## 8 22.224013
## 9 23.901827
## 10 25.672999
## 11 27.173256
## 12 28.591528
## 13 29.959216
## 14 31.285182
## 15 32.716007
## 16 33.965493
## 17 35.187516
## 18 36.385323
## 19 37.623775
## 20 37.814760
## 21 37.946556
## 22 38.955520
## 23 40.052644
## 24 41.110594
## 25 42.130489
## 26 43.007246
## 27 43.960961
## 28 44.882698
## 29 45.774921
## 30 46.631839
## 31 47.374763
## 32 48.186189
## 33 48.971751
## 34 49.733496
## 35 50.471492
## 36 51.107727
## 37 51.799272
## 38 52.469752
## 39 53.119131
## 40 53.747911
## 41 1.145951
## 42 10.220734
## 43 15.810531
## 44 19.989926
## 45 23.426478
## 46 26.400409
## 47 29.035701
## 48 31.430769
## 49 33.699750
## 50 35.927852
## 51 37.904283
## 52 39.952775
## 53 41.972008
## 54 43.887799
## 55 45.671150
## 56 47.319445
## 57 48.840273
## 58 50.245743
## 59 51.495132
## 60 51.634925
## 61 51.722024
## 62 52.865177
## 63 53.980532
## 64 55.067642
## 65 56.129001
## 66 57.248035
## 67 58.250031
## 68 59.237177
## 69 60.203150
## 70 61.146668
## 71 62.138685
## 72 63.037443
## 73 63.914304
## 74 64.770648
## 75 65.606335
## 76 66.483417
## 77 67.276763
## 78 68.050050
## 79 68.803564
## 80 69.593287
## Assemblage Diversity Observed Estimator s.e. LCL
## 1 Girdled Species richness 26.000000 43.892857 21.7461472 26.000000
## 2 Girdled Shannon diversity 12.059650 13.826253 1.4831354 10.919361
## 3 Girdled Simpson diversity 7.840000 8.174825 1.0335010 6.149200
## 4 Logged Species richness 37.000000 61.402778 27.8368984 37.000000
## 5 Logged Shannon diversity 14.421002 16.337069 1.6394053 13.123893
## 6 Logged Simpson diversity 6.761499 6.920350 0.9124127 5.132054
## UCL
## 1 86.514522
## 2 16.733145
## 3 10.200450
## 4 115.962096
## 5 19.550244
## 6 8.708646
Rarefaction/extrapolation
Get new values
We can specify the sample size for which we want to rarefy/extrapolate For Species richness, the extrapolation is reliable up to double the reference sample. For q = 1 or 2, the extrapolation can be extended to the asymptote.
We run the code simultaneously for the three Hill numbers:
# We define the number of samples size that we want to use for estimation
m <- c(1, 50, 100, 200, 400)
example2 <- iNEXT(spider, q = c(0,1,2), datatype = "abundance", size = m)
example2$iNextEst ## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 50 Rarefaction 0 15.030098 13.035643 17.024554 0.8674807
## 3 Girdled 100 Rarefaction 0 20.459426 17.229599 23.689253 0.9072004
## 4 Girdled 167 Rarefaction 0 25.928571 21.333771 30.523372 0.9285714
## 5 Girdled 168 Observed 0 26.000000 21.384924 30.615076 0.9288554
## 6 Girdled 169 Extrapolation 0 26.071145 21.435754 30.706535 0.9291383
## 7 Girdled 200 Extrapolation 0 28.141739 22.852061 33.431417 0.9373713
## 8 Girdled 400 Extrapolation 0 36.792837 26.284553 47.301121 0.9717693
## 9 Girdled 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1223268
## 10 Girdled 50 Rarefaction 1 9.939329 8.339191 11.539467 0.8674807
## 11 Girdled 100 Rarefaction 1 11.266546 9.286195 13.246898 0.9072004
## 12 Girdled 167 Rarefaction 1 12.051422 9.841489 14.261355 0.9285714
## 13 Girdled 168 Observed 1 12.059650 9.847321 14.271980 0.9288554
## 14 Girdled 169 Extrapolation 1 12.067840 9.853126 14.282555 0.9291383
## 15 Girdled 200 Extrapolation 1 12.303742 10.020019 14.587464 0.9373713
## 16 Girdled 400 Extrapolation 1 13.225154 10.654618 15.795690 0.9717693
## 17 Girdled 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1223268
## 18 Girdled 50 Rarefaction 2 7.148973 5.743048 8.554898 0.8674807
## 19 Girdled 100 Rarefaction 2 7.627561 6.019002 9.236120 0.9072004
## 20 Girdled 167 Rarefaction 2 7.838078 6.136167 9.539988 0.9285714
## 21 Girdled 168 Observed 2 7.840000 6.137225 9.542775 0.9288554
## 22 Girdled 169 Extrapolation 2 7.841901 6.138271 9.545530 0.9291383
## 23 Girdled 200 Extrapolation 2 7.891717 6.165607 9.617827 0.9373713
## 24 Girdled 400 Extrapolation 2 8.030777 6.241145 9.820408 0.9717693
## 25 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 26 Logged 50 Rarefaction 0 18.420022 16.659747 20.180297 0.8076088
## 27 Logged 100 Rarefaction 0 25.642342 22.691252 28.593431 0.8892800
## 28 Logged 200 Rarefaction 0 33.904551 29.143171 38.665931 0.9356422
## 29 Logged 251 Rarefaction 0 36.944444 31.316665 42.572224 0.9444444
## 30 Logged 252 Observed 0 37.000000 31.354787 42.645213 0.9445706
## 31 Logged 253 Extrapolation 0 37.055429 31.392757 42.718102 0.9446965
## 32 Logged 400 Extrapolation 0 43.973665 35.423268 52.524062 0.9604109
## 33 Logged 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1445014
## 34 Logged 50 Rarefaction 1 10.747324 9.143632 12.351017 0.8076088
## 35 Logged 100 Rarefaction 1 12.648884 10.574537 14.723231 0.8892800
## 36 Logged 200 Rarefaction 1 14.053826 11.587569 16.520083 0.9356422
## 37 Logged 251 Rarefaction 1 14.415055 11.842226 16.987883 0.9444444
## 38 Logged 252 Observed 1 14.421002 11.846407 16.995596 0.9445706
## 39 Logged 253 Extrapolation 1 14.426930 11.850574 17.003285 0.9446965
## 40 Logged 400 Extrapolation 1 15.125810 12.342718 17.908903 0.9604109
## 41 Logged 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 50 Rarefaction 2 6.187685 4.908612 7.466758 0.8076088
## 43 Logged 100 Rarefaction 2 6.533542 5.087569 7.979514 0.8892800
## 44 Logged 200 Rarefaction 2 6.721385 5.179960 8.262811 0.9356422
## 45 Logged 251 Rarefaction 2 6.760881 5.198948 8.322813 0.9444444
## 46 Logged 252 Observed 2 6.761499 5.199244 8.323754 0.9445706
## 47 Logged 253 Extrapolation 2 6.762113 5.199538 8.324687 0.9446965
## 48 Logged 400 Extrapolation 2 6.819417 5.226808 8.412025 0.9604109
## SC.LCL SC.UCL
## 1 0.09055209 0.1541015
## 2 0.83371596 0.9012454
## 3 0.88058642 0.9338143
## 4 0.89991595 0.9572269
## 5 0.90010486 0.9576060
## 6 0.90029326 0.9579834
## 7 0.90602960 0.9687130
## 8 0.93930811 1.0000000
## 9 0.09055209 0.1541015
## 10 0.83371596 0.9012454
## 11 0.88058642 0.9338143
## 12 0.89991595 0.9572269
## 13 0.90010486 0.9576060
## 14 0.90029326 0.9579834
## 15 0.90602960 0.9687130
## 16 0.93930811 1.0000000
## 17 0.09055209 0.1541015
## 18 0.83371596 0.9012454
## 19 0.88058642 0.9338143
## 20 0.89991595 0.9572269
## 21 0.90010486 0.9576060
## 22 0.90029326 0.9579834
## 23 0.90602960 0.9687130
## 24 0.93930811 1.0000000
## 25 0.11066484 0.1783379
## 26 0.77621603 0.8390016
## 27 0.86477224 0.9137877
## 28 0.91311820 0.9581662
## 29 0.92026654 0.9686223
## 30 0.92034851 0.9687928
## 31 0.92043031 0.9689628
## 32 0.93252527 0.9882965
## 33 0.11066484 0.1783379
## 34 0.77621603 0.8390016
## 35 0.86477224 0.9137877
## 36 0.91311820 0.9581662
## 37 0.92026654 0.9686223
## 38 0.92034851 0.9687928
## 39 0.92043031 0.9689628
## 40 0.93252527 0.9882965
## 41 0.11066484 0.1783379
## 42 0.77621603 0.8390016
## 43 0.86477224 0.9137877
## 44 0.91311820 0.9581662
## 45 0.92026654 0.9686223
## 46 0.92034851 0.9687928
## 47 0.92043031 0.9689628
## 48 0.93252527 0.9882965
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.8896523
## 2 Girdled 0.8674806 50 Rarefaction 0 15.030097 10.9512811
## 3 Girdled 0.9072004 100 Rarefaction 0 20.459428 13.2817894
## 4 Girdled 0.9285714 166 Rarefaction 0 25.867399 14.1090779
## 5 Girdled 0.9288554 168 Observed 0 26.000000 14.1644155
## 6 Girdled 0.9291383 169 Extrapolation 0 26.071145 14.1570187
## 7 Girdled 0.9373713 200 Extrapolation 0 28.141739 13.9177087
## 8 Girdled 0.9717693 400 Extrapolation 0 36.792837 10.7548871
## 9 Girdled 0.1223268 1 Rarefaction 1 1.000000 0.8940067
## 10 Girdled 0.8674806 50 Rarefaction 1 9.939329 7.8403356
## 11 Girdled 0.9072004 100 Rarefaction 1 11.266547 8.7876955
## 12 Girdled 0.9285714 166 Rarefaction 1 12.044343 9.3545242
## 13 Girdled 0.9288554 168 Observed 1 12.059650 9.3672729
## 14 Girdled 0.9291383 169 Extrapolation 1 12.067840 9.3734592
## 15 Girdled 0.9373713 200 Extrapolation 1 12.303742 9.5531334
## 16 Girdled 0.9717693 400 Extrapolation 1 13.225154 10.3327462
## 17 Girdled 0.1223268 1 Rarefaction 2 1.000000 0.9001157
## 18 Girdled 0.8674806 50 Rarefaction 2 7.148972 5.6179681
## 19 Girdled 0.9072004 100 Rarefaction 2 7.627561 5.9478029
## 20 Girdled 0.9285714 166 Rarefaction 2 7.836419 6.0986624
## 21 Girdled 0.9288554 168 Observed 2 7.840000 6.1014412
## 22 Girdled 0.9291383 169 Extrapolation 2 7.841901 6.1028218
## 23 Girdled 0.9373713 200 Extrapolation 2 7.891717 6.1378754
## 24 Girdled 0.9717693 400 Extrapolation 2 8.030777 6.2392969
## 25 Logged 0.1445014 1 Rarefaction 0 1.000000 0.8328037
## 26 Logged 0.8076089 50 Rarefaction 0 18.420025 14.8001782
## 27 Logged 0.8892800 100 Rarefaction 0 25.642343 19.6198938
## 28 Logged 0.9356422 200 Rarefaction 0 33.904552 22.3693859
## 29 Logged 0.9444444 250 Rarefaction 0 36.892629 23.1327071
## 30 Logged 0.9445706 252 Observed 0 37.000000 23.2006516
## 31 Logged 0.9446965 253 Extrapolation 0 37.055429 23.2199820
## 32 Logged 0.9604109 400 Extrapolation 0 43.973665 24.0837612
## 33 Logged 0.1445014 1 Rarefaction 1 1.000000 0.8400415
## 34 Logged 0.8076089 50 Rarefaction 1 10.747325 8.7020342
## 35 Logged 0.8892800 100 Rarefaction 1 12.648884 10.1159986
## 36 Logged 0.9356422 200 Rarefaction 1 14.053826 11.1553116
## 37 Logged 0.9444444 250 Rarefaction 1 14.409488 11.4400802
## 38 Logged 0.9445706 252 Observed 1 14.421002 11.4505447
## 39 Logged 0.9446965 253 Extrapolation 1 14.426930 11.4557979
## 40 Logged 0.9604109 400 Extrapolation 1 15.125810 12.0569159
## 41 Logged 0.1445014 1 Rarefaction 2 1.000000 0.8500702
## 42 Logged 0.8076089 50 Rarefaction 2 6.187685 4.8609609
## 43 Logged 0.8892800 100 Rarefaction 2 6.533542 5.0412692
## 44 Logged 0.9356422 200 Rarefaction 2 6.721385 5.1460634
## 45 Logged 0.9444444 250 Rarefaction 2 6.760301 5.1737285
## 46 Logged 0.9445706 252 Observed 2 6.761499 5.1747913
## 47 Logged 0.9446965 253 Extrapolation 2 6.762113 5.1752633
## 48 Logged 0.9604109 400 Extrapolation 2 6.819417 5.2196909
## qD.UCL
## 1 1.110348
## 2 19.108913
## 3 27.637067
## 4 37.625721
## 5 37.835584
## 6 37.985270
## 7 42.365768
## 8 62.830788
## 9 1.105993
## 10 12.038322
## 11 13.745398
## 12 14.734162
## 13 14.752028
## 14 14.762222
## 15 15.054350
## 16 16.117562
## 17 1.099884
## 18 8.679977
## 19 9.307319
## 20 9.574176
## 21 9.578559
## 22 9.580979
## 23 9.645558
## 24 9.822256
## 25 1.167196
## 26 22.039871
## 27 31.664792
## 28 45.439717
## 29 50.652550
## 30 50.799348
## 31 50.890877
## 32 63.863569
## 33 1.159959
## 34 12.792617
## 35 15.181770
## 36 16.952341
## 37 17.378895
## 38 17.391458
## 39 17.398062
## 40 18.194705
## 41 1.149930
## 42 7.514409
## 43 8.025814
## 44 8.296707
## 45 8.346874
## 46 8.348207
## 47 8.348962
## 48 8.419143
Plotting
Plot for an iNEXT object created previously Rarefaction/extrapolation curves for q = 0
Rarefaction/extrapolation curves for sample size for all 3 numbers divided by site
Rarefaction/extrapolation curves for sample size separated by “order” (q)
We can also work with sample coverage
Define at which sample size you want to compare your samples.
Results: for the three hill numbers, order 0, 1,2. For all of them is interpolated or extrapolated as requested and we get the values in qD with lower and upper confidence intervals. These values are now fully comparable
Use max value of the biggest sample size
inext_spiders <- iNEXT(spider, q = 0, datatype = "abundance")
info_spiders <- inext_spiders$DataInfo
max(info_spiders$n)## [1] 252
estINEXTsize <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
estINEXTsize## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 Girdled 252 Extrapolation 0 0.9490904 31.089085 24.536538 37.641633
## 2 Girdled 252 Extrapolation 1 0.9490904 12.630557 10.445013 14.816101
## 3 Girdled 252 Extrapolation 2 0.9490904 7.948519 6.326929 9.570108
## 4 Logged 252 Observed 0 0.9445706 37.000000 31.646164 42.353836
## 5 Logged 252 Observed 1 0.9445706 14.421002 12.028272 16.813731
## 6 Logged 252 Observed 2 0.9445706 6.761499 5.263225 8.259773
Use max sample coverage
## [1] 0.9446
estINEXTcov <- estimateD(spider, datatype = "abundance", base = "coverage", level = .945,
conf = 0.95)
estINEXTcov## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 Girdled 232.6025 Extrapolation 0 0.945 30.060357 11.966505 48.15421
## 2 Girdled 232.6025 Extrapolation 1 0.945 12.517775 9.636746 15.39880
## 3 Girdled 232.6025 Extrapolation 2 0.945 7.930211 6.411742 9.44868
## 4 Logged 255.4196 Extrapolation 0 0.945 37.189028 24.974649 49.40341
## 5 Logged 255.4196 Extrapolation 1 0.945 14.441198 11.431818 17.45058
## 6 Logged 255.4196 Extrapolation 2 0.945 6.763578 5.211335 8.31582
Now we can compare Species richness standardized for the same level of sample size for each habitat (sample)
estINEXTcover2 <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
habitat <- factor(c("Girdled", "Logged"))
# plot simple
mysub <- subset(estINEXTcover2, estINEXTcover2$Order.q == 0 )
plot(mysub$qD ~ habitat, border = c("green4", "red"),
xlab = "Habitats", ylab = "Est. Species richness")# plot with confidence interval in ggplot
ggplot(mysub, aes(x = habitat, y = qD)) +
geom_point(colour = c("green4", "red"), size = 5) +
geom_errorbar(aes(ymin = qD.LCL, ymax = qD.UCL),
colour = c("green4", "red"),
width = 0.2) +
xlab("Habitats") +
ylab("Est. Species richness") +
theme_bw() SPATIAL ANALYSIS OF DIVERSITY
BIRD DATA
How does urbanization affect species richness?
Load data
# Bird data
bird_data <- read.csv(here("data","data_berlin","animal_data",
"birds_berlin_exercise_planillo2021.csv") )
head(bird_data)## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1 0 0 0
## 2 0 0 0
## 3 0 0 0
## 4 0 3 0
## 5 0 0 0
## 6 0 2 5
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1 0 0 0 0
## 2 0 1 0 0
## 3 0 0 0 0
## 4 4 2 0 0
## 5 0 2 2 11
## 6 5 0 9 1
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1 15 0 0 1
## 2 21 0 0 1
## 3 4 0 0 0
## 4 0 1 0 2
## 5 0 1 1 1
## 6 0 0 1 1
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1 2 0 0
## 2 11 11 0
## 3 7 4 0
## 4 2 3 0
## 5 6 2 0
## 6 2 4 0
## Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1 0 1 0 18
## 2 0 0 0 23
## 3 0 5 0 17
## 4 1 0 5 10
## 5 1 0 0 5
## 6 1 0 0 2
## Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1 0 10 0 9 0
## 2 0 11 0 25 0
## 3 0 2 0 18 0
## 4 0 10 2 19 0
## 5 1 6 1 18 0
## 6 0 1 1 7 0
## Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1 0 0 0 0
## 2 8 0 0 0
## 3 1 0 0 0
## 4 10 7 1 0
## 5 4 0 0 20
## 6 4 0 0 8
## Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1 0 0 0 0
## 2 0 9 0 0
## 3 0 5 0 0
## 4 1 14 0 0
## 5 0 10 0 1
## 6 14 5 0 0
## Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1 0 1 0 0
## 2 4 1 0 0
## 3 2 0 0 0
## 4 30 3 0 10
## 5 18 3 2 0
## 6 9 1 1 0
## Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1 0 0 0 0
## 2 0 0 0 7
## 3 0 0 0 0
## 4 0 0 0 9
## 5 7 2 0 20
## 6 4 1 0 3
## Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1 0 0 0 0
## 2 0 2 0 0
## 3 0 0 0 0
## 4 0 1 0 1
## 5 0 2 0 1
## 6 0 1 3 2
## Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1 0 10 162 0 0
## 2 0 39 121 5 0
## 3 0 18 56 4 0
## 4 2 19 2 0 1
## 5 2 35 18 4 0
## 6 3 10 0 2 0
## Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1 0 0 0
## 2 5 7 4
## 3 4 2 0
## 4 0 0 13
## 5 1 6 13
## 6 2 2 5
## Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1 0 0 4 0
## 2 0 1 4 1
## 3 0 0 0 0
## 4 1 1 0 1
## 5 0 15 1 1
## 6 0 1 0 0
## Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1 0 0 0 0
## 2 0 1 2 0
## 3 0 0 0 0
## 4 2 0 1 0
## 5 0 1 0 0
## 6 0 0 0 1
## Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1 0 0 0 2
## 2 5 3 0 13
## 3 0 4 0 11
## 4 0 21 0 36
## 5 0 1 0 6
## 6 0 1 0 6
## Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1 2 0 0 1
## 2 26 0 0 4
## 3 10 0 0 0
## 4 28 1 1 0
## 5 24 5 4 1
## 6 7 0 0 0
## Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1 0 27 0 BE10
## 2 10 37 0 BE11
## 3 4 30 1 BE12
## 4 14 27 11 BE13
## 5 5 54 11 BE14
## 6 3 13 3 BE15
## 'data.frame': 29 obs. of 71 variables:
## $ Accipiter_gentilis : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Acrocephalus_arundinaceus : int 0 0 0 3 0 2 0 0 0 0 ...
## $ Acrocephalus_palustris : int 0 0 0 0 0 5 0 3 4 0 ...
## $ Acrocephalus_scirpaceus : int 0 0 0 4 0 5 0 0 0 2 ...
## $ Aegithalos_caudatus : int 0 1 0 2 2 0 0 0 2 0 ...
## $ Alauda_arvensis : int 0 0 0 0 2 9 0 21 1 0 ...
## $ Anthus_trivialis : int 0 0 0 0 11 1 0 0 0 0 ...
## $ Apus_apus : int 15 21 4 0 0 0 0 0 3 12 ...
## $ Buteo_buteo : int 0 0 0 1 1 0 0 0 0 0 ...
## $ Carduelis_cannabina : int 0 0 0 0 1 1 0 3 1 0 ...
## $ Carduelis_carduelis : int 1 1 0 2 1 1 1 3 1 4 ...
## $ Carduelis_chloris : int 2 11 7 2 6 2 11 6 8 13 ...
## $ Certhia_brachydactyla : int 0 11 4 3 2 4 2 0 1 3 ...
## $ Certhia_familiaris : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Coccothraustes_coccothraustes: int 0 0 0 1 1 1 0 0 0 1 ...
## $ Columba_livia : int 1 0 5 0 0 0 0 0 1 0 ...
## $ Columba_oenas : int 0 0 0 5 0 0 0 0 0 0 ...
## $ Columba_palumbus : int 18 23 17 10 5 2 16 7 13 15 ...
## $ Corvus_corax : int 0 0 0 0 1 0 0 0 1 0 ...
## $ Corvus_corone : int 10 11 2 10 6 1 4 4 8 10 ...
## $ Cuculus_canorus : int 0 0 0 2 1 1 0 3 1 0 ...
## $ Parus_caeruleus : int 9 25 18 19 18 7 20 4 18 15 ...
## $ Delichon_urbicum : int 0 0 0 0 0 0 0 0 2 0 ...
## $ Dendrocopos_major : int 0 8 1 10 4 4 0 0 3 3 ...
## $ Dendrocopos_medius : int 0 0 0 7 0 0 0 0 0 0 ...
## $ Dryocopus_martius : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Emberiza_citrinella : int 0 0 0 0 20 8 0 14 4 0 ...
## $ Emberiza_schoeniclus : int 0 0 0 1 0 14 0 0 1 0 ...
## $ Erithacus_rubecula : int 0 9 5 14 10 5 0 0 4 4 ...
## $ Falco_tinnunculus : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Ficedula_hypoleuca : int 0 0 0 0 1 0 0 0 0 4 ...
## $ Fringilla_coelebs : int 0 4 2 30 18 9 2 2 0 0 ...
## $ Garrulus_glandarius : int 1 1 0 3 3 1 2 2 0 3 ...
## $ Hippolais_icterina : int 0 0 0 0 2 1 0 5 1 2 ...
## $ Hirundo_rustica : int 0 0 0 10 0 0 0 0 1 0 ...
## $ Lanius_collurio : int 0 0 0 0 7 4 0 2 2 0 ...
## $ Locustella_naevia : int 0 0 0 0 2 1 0 2 2 0 ...
## $ Parus_cristatus : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Luscinia_megarhynchos : int 0 7 0 9 20 3 10 6 18 5 ...
## $ Miliaria_calandra : int 0 0 0 0 0 0 0 8 0 0 ...
## $ Motacilla_alba : int 0 2 0 1 2 1 0 0 2 0 ...
## $ Motacilla_flava : int 0 0 0 0 0 3 0 0 0 0 ...
## $ Muscicapa_striata : int 0 0 0 1 1 2 0 0 1 3 ...
## $ Oriolus_oriolus : int 0 0 0 2 2 3 0 0 0 0 ...
## $ Parus_major : int 10 39 18 19 35 10 46 17 28 18 ...
## $ Passer_domesticus : int 162 121 56 2 18 0 104 0 88 90 ...
## $ Passer_montanus : int 0 5 4 0 4 2 6 4 8 8 ...
## $ Parus_ater : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Phoenicurus_ochruros : int 0 5 4 0 1 2 7 0 4 6 ...
## $ Phoenicurus_phoenicurus : int 0 7 2 0 6 2 11 0 12 9 ...
## $ Phylloscopus_collybita : int 0 4 0 13 13 5 7 4 9 3 ...
## $ Phylloscopus_sibilatrix : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Phylloscopus_trochilus : int 0 1 0 1 15 1 0 14 4 3 ...
## $ Pica_pica : int 4 4 0 0 1 0 4 2 5 7 ...
## $ Picus_viridis : int 0 1 0 1 1 0 0 1 0 1 ...
## $ Parus_palustris : int 0 0 0 2 0 0 0 0 0 0 ...
## $ Prunella_modularis : int 0 1 0 0 1 0 1 0 3 1 ...
## $ Regulus_ignicapilla : int 0 2 0 1 0 0 4 0 1 0 ...
## $ Saxicola_torquatus : int 0 0 0 0 0 1 0 2 0 0 ...
## $ Serinus_serinus : int 0 5 0 0 0 0 4 0 7 4 ...
## $ Sitta_europaea : int 0 3 4 21 1 1 0 0 0 3 ...
## $ Streptopelia_decaocto : int 0 0 0 0 0 0 0 0 0 6 ...
## $ Sturnus_vulgaris : int 2 13 11 36 6 6 19 10 17 34 ...
## $ Sylvia_atricapilla : int 2 26 10 28 24 7 14 12 15 7 ...
## $ Sylvia_borin : int 0 0 0 1 5 0 0 3 3 3 ...
## $ Sylvia_communis : int 0 0 0 1 4 0 0 23 0 1 ...
## $ Sylvia_curruca : int 1 4 0 0 1 0 7 3 4 4 ...
## $ Troglodytes_troglodytes : int 0 10 4 14 5 3 6 0 5 2 ...
## $ Turdus_merula : int 27 37 30 27 54 13 39 14 49 32 ...
## $ Turdus_philomelos : int 0 0 1 11 11 3 1 5 1 4 ...
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## Min. :0.0000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median :0.0000 Median :0.0000
## Mean :0.1379 Mean :0.2414 Mean :0.4138
## 3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
## Max. :2.0000 Max. :3.0000 Max. :5.0000
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## Min. :0.0000 Min. :0.0000 Min. : 0.000 Min. : 0.0000
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000
## Median :0.0000 Median :0.0000 Median : 0.000 Median : 0.0000
## Mean :0.5517 Mean :0.7241 Mean : 1.172 Mean : 0.4483
## 3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000
## Max. :5.0000 Max. :4.0000 Max. :21.000 Max. :11.0000
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## Min. : 0.000 Min. :0.0000 Min. :0.0000 Min. :0.000
## 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.000
## Median : 0.000 Median :0.0000 Median :0.0000 Median :1.000
## Mean : 5.069 Mean :0.1034 Mean :0.3103 Mean :1.517
## 3rd Qu.: 5.000 3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:2.000
## Max. :37.000 Max. :1.0000 Max. :3.0000 Max. :6.000
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## Min. : 0.000 Min. : 0.000 Min. :0.0000
## 1st Qu.: 2.000 1st Qu.: 1.000 1st Qu.:0.0000
## Median : 6.000 Median : 3.000 Median :0.0000
## Mean : 6.276 Mean : 4.483 Mean :0.5172
## 3rd Qu.: 9.000 3rd Qu.: 9.000 3rd Qu.:0.0000
## Max. :19.000 Max. :12.000 Max. :6.0000
## Coccothraustes_coccothraustes Columba_livia Columba_oenas
## Min. : 0.000 Min. : 0.000 Min. :0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000
## Median : 0.000 Median : 0.000 Median :0.0000
## Mean : 1.621 Mean : 2.586 Mean :0.4138
## 3rd Qu.: 1.000 3rd Qu.: 4.000 3rd Qu.:0.0000
## Max. :15.000 Max. :15.000 Max. :5.0000
## Columba_palumbus Corvus_corax Corvus_corone Cuculus_canorus
## Min. : 2.00 Min. :0.0000 Min. : 0.000 Min. :0.0000
## 1st Qu.:10.00 1st Qu.:0.0000 1st Qu.: 2.000 1st Qu.:0.0000
## Median :13.00 Median :0.0000 Median : 6.000 Median :0.0000
## Mean :13.07 Mean :0.1379 Mean : 6.586 Mean :0.3448
## 3rd Qu.:17.00 3rd Qu.:0.0000 3rd Qu.:10.000 3rd Qu.:0.0000
## Max. :32.00 Max. :1.0000 Max. :22.000 Max. :3.0000
## Parus_caeruleus Delichon_urbicum Dendrocopos_major Dendrocopos_medius
## Min. : 4 Min. :0.0000 Min. : 0.000 Min. :0.0000
## 1st Qu.:11 1st Qu.:0.0000 1st Qu.: 1.000 1st Qu.:0.0000
## Median :18 Median :0.0000 Median : 2.000 Median :0.0000
## Mean :19 Mean :0.2069 Mean : 5.517 Mean :0.3103
## 3rd Qu.:23 3rd Qu.:0.0000 3rd Qu.: 8.000 3rd Qu.:0.0000
## Max. :44 Max. :2.0000 Max. :36.000 Max. :7.0000
## Dryocopus_martius Emberiza_citrinella Emberiza_schoeniclus Erithacus_rubecula
## Min. :0.0000 Min. : 0.000 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 2.000
## Median :0.0000 Median : 0.000 Median : 0.0000 Median : 4.000
## Mean :0.2069 Mean : 1.862 Mean : 0.5517 Mean : 6.931
## 3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.:10.000
## Max. :2.0000 Max. :20.000 Max. :14.0000 Max. :35.000
## Falco_tinnunculus Ficedula_hypoleuca Fringilla_coelebs Garrulus_glandarius
## Min. :0.0000 Min. :0.000 Min. : 0.00 Min. :0.000
## 1st Qu.:0.0000 1st Qu.:0.000 1st Qu.: 0.00 1st Qu.:1.000
## Median :0.0000 Median :0.000 Median : 3.00 Median :1.000
## Mean :0.1724 Mean :1.345 Mean :11.86 Mean :1.793
## 3rd Qu.:0.0000 3rd Qu.:1.000 3rd Qu.:18.00 3rd Qu.:3.000
## Max. :1.0000 Max. :9.000 Max. :71.00 Max. :5.000
## Hippolais_icterina Hirundo_rustica Lanius_collurio Locustella_naevia
## Min. :0.0000 Min. : 0.0000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.: 0.0000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median : 0.0000 Median :0.0000 Median :0.0000
## Mean :0.3793 Mean : 0.6552 Mean :0.5172 Mean :0.2414
## 3rd Qu.:0.0000 3rd Qu.: 0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
## Max. :5.0000 Max. :10.0000 Max. :7.0000 Max. :2.0000
## Parus_cristatus Luscinia_megarhynchos Miliaria_calandra Motacilla_alba
## Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median : 2.000 Median :0.0000 Median :0.0000
## Mean :0.8621 Mean : 4.069 Mean :0.2759 Mean :0.4138
## 3rd Qu.:0.0000 3rd Qu.: 7.000 3rd Qu.:0.0000 3rd Qu.:1.0000
## Max. :7.0000 Max. :20.000 Max. :8.0000 Max. :2.0000
## Motacilla_flava Muscicapa_striata Oriolus_oriolus Parus_major
## Min. :0.0000 Min. :0.0000 Min. :0.0000 Min. : 6.00
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:17.00
## Median :0.0000 Median :0.0000 Median :0.0000 Median :22.00
## Mean :0.1034 Mean :0.6207 Mean :0.2759 Mean :23.86
## 3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.:0.0000 3rd Qu.:29.00
## Max. :3.0000 Max. :4.0000 Max. :3.0000 Max. :52.00
## Passer_domesticus Passer_montanus Parus_ater Phoenicurus_ochruros
## Min. : 0.00 Min. : 0.000 Min. :0.0000 Min. : 0
## 1st Qu.: 14.00 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 1
## Median : 65.00 Median : 3.000 Median :0.0000 Median : 2
## Mean : 68.38 Mean : 3.828 Mean :0.5517 Mean : 4
## 3rd Qu.: 90.00 3rd Qu.: 6.000 3rd Qu.:0.0000 3rd Qu.: 5
## Max. :279.00 Max. :15.000 Max. :5.0000 Max. :21
## Phoenicurus_phoenicurus Phylloscopus_collybita Phylloscopus_sibilatrix
## Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 2.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 5.000 Median : 2.000 Median : 0.000
## Mean : 4.966 Mean : 3.517 Mean : 2.069
## 3rd Qu.: 8.000 3rd Qu.: 5.000 3rd Qu.: 1.000
## Max. :13.000 Max. :14.000 Max. :24.000
## Phylloscopus_trochilus Pica_pica Picus_viridis Parus_palustris
## Min. : 0.000 Min. : 0.000 Min. :0.0000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.0000
## Median : 0.000 Median : 2.000 Median :0.0000 Median : 0.0000
## Mean : 1.483 Mean : 3.138 Mean :0.4483 Mean : 0.5517
## 3rd Qu.: 1.000 3rd Qu.: 5.000 3rd Qu.:1.0000 3rd Qu.: 0.0000
## Max. :15.000 Max. :10.000 Max. :1.0000 Max. :10.0000
## Prunella_modularis Regulus_ignicapilla Saxicola_torquatus Serinus_serinus
## Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.000
## Median :0.0000 Median : 0.000 Median :0.0000 Median : 1.000
## Mean :0.5517 Mean : 1.552 Mean :0.1034 Mean : 2.103
## 3rd Qu.:1.0000 3rd Qu.: 2.000 3rd Qu.:0.0000 3rd Qu.: 4.000
## Max. :5.0000 Max. :12.000 Max. :2.0000 Max. :15.000
## Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris Sylvia_atricapilla
## Min. : 0.000 Min. :0.0000 Min. : 2.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 5.00 1st Qu.: 7.00
## Median : 1.000 Median :0.0000 Median : 8.00 Median :10.00
## Mean : 4.759 Mean :0.2069 Mean :10.52 Mean :10.83
## 3rd Qu.: 4.000 3rd Qu.:0.0000 3rd Qu.:13.00 3rd Qu.:13.00
## Max. :29.000 Max. :6.0000 Max. :36.00 Max. :28.00
## Sylvia_borin Sylvia_communis Sylvia_curruca Troglodytes_troglodytes
## Min. :0.0000 Min. : 0.000 Min. :0.000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.000 1st Qu.: 0.000
## Median :0.0000 Median : 0.000 Median :2.000 Median : 3.000
## Mean :0.6207 Mean : 1.069 Mean :2.207 Mean : 6.034
## 3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.:3.000 3rd Qu.: 9.000
## Max. :5.0000 Max. :23.000 Max. :7.000 Max. :36.000
## Turdus_merula Turdus_philomelos site
## Min. :11.00 Min. : 0.000 Length:29
## 1st Qu.:18.00 1st Qu.: 0.000 Class :character
## Median :27.00 Median : 1.000 Mode :character
## Mean :29.34 Mean : 3.345
## 3rd Qu.:39.00 3rd Qu.: 5.000
## Max. :54.00 Max. :14.000
## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1 0 0 0
## 2 0 0 0
## 3 0 0 0
## 4 0 3 0
## 5 0 0 0
## 6 0 2 5
## 7 0 0 0
## 8 0 0 3
## 9 1 0 4
## 10 0 0 0
## 11 2 0 0
## 12 0 0 0
## 13 1 0 0
## 14 0 0 0
## 15 0 0 0
## 16 0 0 0
## 17 0 0 0
## 18 0 0 0
## 19 0 0 0
## 20 0 0 0
## 21 0 0 0
## 22 0 2 0
## 23 0 0 0
## 24 0 0 0
## 25 0 0 0
## 26 0 0 0
## 27 0 0 0
## 28 0 0 0
## 29 0 0 0
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1 0 0 0 0
## 2 0 1 0 0
## 3 0 0 0 0
## 4 4 2 0 0
## 5 0 2 2 11
## 6 5 0 9 1
## 7 0 0 0 0
## 8 0 0 21 0
## 9 0 2 1 0
## 10 2 0 0 0
## 11 0 1 0 0
## 12 0 0 0 0
## 13 1 2 0 0
## 14 0 1 0 0
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 3 0 0
## 18 0 1 0 0
## 19 0 1 0 0
## 20 1 0 0 0
## 21 0 0 0 0
## 22 0 0 0 1
## 23 0 1 1 0
## 24 0 4 0 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 0 0 0
## 28 0 0 0 0
## 29 3 0 0 0
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1 15 0 0 1
## 2 21 0 0 1
## 3 4 0 0 0
## 4 0 1 0 2
## 5 0 1 1 1
## 6 0 0 1 1
## 7 0 0 0 1
## 8 0 0 3 3
## 9 3 0 1 1
## 10 12 0 0 4
## 11 0 0 0 0
## 12 4 0 0 0
## 13 3 0 0 2
## 14 5 0 0 3
## 15 5 0 0 3
## 16 0 0 0 6
## 17 12 0 0 1
## 18 0 0 0 0
## 19 19 0 3 0
## 20 0 1 0 2
## 21 0 0 0 1
## 22 0 0 0 1
## 23 0 0 0 1
## 24 0 0 0 0
## 25 5 0 0 0
## 26 2 0 0 1
## 27 37 0 0 2
## 28 0 0 0 6
## 29 0 0 0 0
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1 2 0 0
## 2 11 11 0
## 3 7 4 0
## 4 2 3 0
## 5 6 2 0
## 6 2 4 0
## 7 11 2 0
## 8 6 0 0
## 9 8 1 0
## 10 13 3 0
## 11 0 11 6
## 12 1 1 0
## 13 7 11 0
## 14 10 5 0
## 15 3 3 0
## 16 5 5 0
## 17 19 0 0
## 18 6 10 0
## 19 11 4 0
## 20 0 9 2
## 21 9 0 0
## 22 5 9 1
## 23 9 1 0
## 24 6 10 0
## 25 4 0 0
## 26 2 3 0
## 27 8 4 0
## 28 9 2 0
## 29 0 12 6
## Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1 0 1 0 18
## 2 0 0 0 23
## 3 0 5 0 17
## 4 1 0 5 10
## 5 1 0 0 5
## 6 1 0 0 2
## 7 0 0 0 16
## 8 0 0 0 7
## 9 0 1 0 13
## 10 1 0 0 15
## 11 15 0 2 12
## 12 0 4 0 6
## 13 8 0 0 15
## 14 0 15 0 18
## 15 0 13 0 18
## 16 0 0 0 11
## 17 0 0 0 10
## 18 0 2 0 13
## 19 2 1 0 17
## 20 3 0 3 6
## 21 0 3 0 15
## 22 3 2 0 5
## 23 0 0 0 18
## 24 5 0 1 19
## 25 0 7 0 11
## 26 0 9 0 10
## 27 0 8 0 32
## 28 0 4 0 12
## 29 7 0 1 5
## Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1 0 10 0 9 0
## 2 0 11 0 25 0
## 3 0 2 0 18 0
## 4 0 10 2 19 0
## 5 1 6 1 18 0
## 6 0 1 1 7 0
## 7 0 4 0 20 0
## 8 0 4 3 4 0
## 9 1 8 1 18 2
## 10 0 10 0 15 0
## 11 1 2 1 33 0
## 12 0 3 0 11 0
## 13 0 4 0 44 0
## 14 0 4 0 14 0
## 15 0 6 0 12 0
## 16 0 11 0 15 0
## 17 0 5 0 18 0
## 18 0 2 0 16 0
## 19 0 14 0 26 0
## 20 0 0 0 31 0
## 21 0 12 0 11 0
## 22 1 1 0 23 0
## 23 0 2 0 11 0
## 24 0 8 0 44 0
## 25 0 7 0 5 1
## 26 0 8 0 22 1
## 27 0 22 0 23 2
## 28 0 13 0 10 0
## 29 0 1 1 29 0
## Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1 0 0 0 0
## 2 8 0 0 0
## 3 1 0 0 0
## 4 10 7 1 0
## 5 4 0 0 20
## 6 4 0 0 8
## 7 0 0 0 0
## 8 0 0 0 14
## 9 3 0 0 4
## 10 3 0 0 0
## 11 36 1 2 0
## 12 1 0 0 0
## 13 8 0 0 0
## 14 0 0 0 0
## 15 0 0 0 0
## 16 2 0 0 0
## 17 2 0 0 0
## 18 6 0 0 0
## 19 3 0 0 1
## 20 11 0 1 0
## 21 2 0 0 0
## 22 9 0 0 7
## 23 2 0 0 0
## 24 22 0 1 0
## 25 1 0 0 0
## 26 1 0 0 0
## 27 1 0 0 0
## 28 1 0 0 0
## 29 19 1 1 0
## Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1 0 0 0 0
## 2 0 9 0 0
## 3 0 5 0 0
## 4 1 14 0 0
## 5 0 10 0 1
## 6 14 5 0 0
## 7 0 0 0 0
## 8 0 0 0 0
## 9 1 4 1 0
## 10 0 4 0 4
## 11 0 35 0 6
## 12 0 0 0 0
## 13 0 13 0 0
## 14 0 2 0 0
## 15 0 5 0 0
## 16 0 2 0 0
## 17 0 1 0 0
## 18 0 5 1 0
## 19 0 3 1 1
## 20 0 25 0 8
## 21 0 2 0 0
## 22 0 10 0 9
## 23 0 3 0 0
## 24 0 17 0 7
## 25 0 0 0 0
## 26 0 3 1 0
## 27 0 2 0 0
## 28 0 0 1 0
## 29 0 22 0 3
## Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1 0 1 0 0
## 2 4 1 0 0
## 3 2 0 0 0
## 4 30 3 0 10
## 5 18 3 2 0
## 6 9 1 1 0
## 7 2 2 0 0
## 8 2 2 5 0
## 9 0 0 1 1
## 10 0 3 2 0
## 11 71 5 0 0
## 12 0 0 0 0
## 13 24 1 0 0
## 14 0 1 0 0
## 15 1 0 0 0
## 16 3 0 0 0
## 17 5 1 0 1
## 18 8 0 0 0
## 19 1 2 0 0
## 20 46 4 0 0
## 21 3 5 0 0
## 22 21 2 0 7
## 23 0 1 0 0
## 24 36 5 0 0
## 25 0 2 0 0
## 26 3 0 0 0
## 27 0 2 0 0
## 28 0 1 0 0
## 29 55 4 0 0
## Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1 0 0 0 0
## 2 0 0 0 7
## 3 0 0 0 0
## 4 0 0 0 9
## 5 7 2 0 20
## 6 4 1 0 3
## 7 0 0 0 10
## 8 2 2 0 6
## 9 2 2 1 18
## 10 0 0 0 5
## 11 0 0 5 0
## 12 0 0 0 0
## 13 0 0 0 8
## 14 0 0 0 2
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 0 0 2
## 18 0 0 0 2
## 19 0 0 2 7
## 20 0 0 4 0
## 21 0 0 0 0
## 22 0 0 7 3
## 23 0 0 0 10
## 24 0 0 0 0
## 25 0 0 0 1
## 26 0 0 0 0
## 27 0 0 0 1
## 28 0 0 0 3
## 29 0 0 6 1
## Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1 0 0 0 0
## 2 0 2 0 0
## 3 0 0 0 0
## 4 0 1 0 1
## 5 0 2 0 1
## 6 0 1 3 2
## 7 0 0 0 0
## 8 8 0 0 0
## 9 0 2 0 1
## 10 0 0 0 3
## 11 0 0 0 2
## 12 0 0 0 0
## 13 0 0 0 4
## 14 0 0 0 0
## 15 0 1 0 0
## 16 0 0 0 0
## 17 0 0 0 0
## 18 0 0 0 2
## 19 0 1 0 0
## 20 0 1 0 1
## 21 0 0 0 0
## 22 0 0 0 0
## 23 0 0 0 0
## 24 0 0 0 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 1 0 0
## 28 0 0 0 0
## 29 0 0 0 1
## Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1 0 10 162 0 0
## 2 0 39 121 5 0
## 3 0 18 56 4 0
## 4 2 19 2 0 1
## 5 2 35 18 4 0
## 6 3 10 0 2 0
## 7 0 46 104 6 0
## 8 0 17 0 4 0
## 9 0 28 88 8 0
## 10 0 18 90 8 0
## 11 0 29 0 0 3
## 12 0 9 71 1 0
## 13 0 29 5 1 0
## 14 0 19 62 0 0
## 15 0 18 71 0 0
## 16 0 20 174 0 0
## 17 0 25 65 5 0
## 18 0 39 115 0 0
## 19 0 36 65 12 0
## 20 0 28 0 0 0
## 21 0 13 56 14 0
## 22 0 29 22 5 4
## 23 0 22 78 15 0
## 24 1 52 14 7 3
## 25 0 6 116 0 0
## 26 0 15 76 0 0
## 27 0 22 279 3 0
## 28 0 14 73 7 0
## 29 0 27 0 0 5
## Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1 0 0 0
## 2 5 7 4
## 3 4 2 0
## 4 0 0 13
## 5 1 6 13
## 6 2 2 5
## 7 7 11 7
## 8 0 0 4
## 9 4 12 9
## 10 6 9 3
## 11 0 0 1
## 12 1 3 0
## 13 3 13 14
## 14 19 5 0
## 15 21 3 0
## 16 4 3 0
## 17 2 9 5
## 18 2 5 1
## 19 3 9 1
## 20 0 1 2
## 21 10 5 0
## 22 1 8 11
## 23 1 9 1
## 24 2 7 3
## 25 5 0 0
## 26 2 5 0
## 27 5 2 0
## 28 6 6 2
## 29 0 2 3
## Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1 0 0 4 0
## 2 0 1 4 1
## 3 0 0 0 0
## 4 1 1 0 1
## 5 0 15 1 1
## 6 0 1 0 0
## 7 0 0 4 0
## 8 0 14 2 1
## 9 0 4 5 0
## 10 0 3 7 1
## 11 24 0 0 1
## 12 0 0 4 0
## 13 6 0 0 1
## 14 0 0 3 0
## 15 0 0 3 0
## 16 0 0 2 0
## 17 2 0 2 1
## 18 0 0 0 1
## 19 1 2 9 1
## 20 4 0 0 0
## 21 0 0 9 0
## 22 8 0 2 0
## 23 0 0 2 1
## 24 0 0 0 1
## 25 0 0 10 0
## 26 0 0 5 1
## 27 1 1 7 0
## 28 0 0 6 0
## 29 13 1 0 0
## Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1 0 0 0 0
## 2 0 1 2 0
## 3 0 0 0 0
## 4 2 0 1 0
## 5 0 1 0 0
## 6 0 0 0 1
## 7 0 1 4 0
## 8 0 0 0 2
## 9 0 3 1 0
## 10 0 1 0 0
## 11 0 0 7 0
## 12 0 0 0 0
## 13 0 5 3 0
## 14 0 0 0 0
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 1 2 0
## 18 0 0 0 0
## 19 0 1 0 0
## 20 3 0 6 0
## 21 0 0 0 0
## 22 0 1 2 0
## 23 0 1 0 0
## 24 1 0 12 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 0 0 0
## 28 0 0 0 0
## 29 10 0 5 0
## Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1 0 0 0 2
## 2 5 3 0 13
## 3 0 4 0 11
## 4 0 21 0 36
## 5 0 1 0 6
## 6 0 1 0 6
## 7 4 0 0 19
## 8 0 0 0 10
## 9 7 0 0 17
## 10 4 3 6 34
## 11 0 29 0 2
## 12 1 1 0 5
## 13 15 6 0 19
## 14 3 0 0 3
## 15 1 0 0 4
## 16 0 3 0 9
## 17 2 0 0 7
## 18 1 4 0 19
## 19 5 0 0 12
## 20 0 18 0 3
## 21 0 1 0 18
## 22 4 5 0 7
## 23 0 0 0 2
## 24 0 23 0 8
## 25 2 0 0 5
## 26 3 0 0 8
## 27 0 1 0 11
## 28 4 0 0 7
## 29 0 14 0 2
## Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1 2 0 0 1
## 2 26 0 0 4
## 3 10 0 0 0
## 4 28 1 1 0
## 5 24 5 4 1
## 6 7 0 0 0
## 7 14 0 0 7
## 8 12 3 23 3
## 9 15 3 0 4
## 10 7 3 1 4
## 11 9 0 0 0
## 12 6 0 0 2
## 13 20 0 0 3
## 14 7 0 0 3
## 15 4 0 0 1
## 16 8 0 0 1
## 17 10 0 0 0
## 18 10 0 0 3
## 19 3 0 2 4
## 20 11 0 0 0
## 21 6 2 0 5
## 22 12 0 0 3
## 23 13 1 0 7
## 24 13 0 0 3
## 25 0 0 0 0
## 26 8 0 0 1
## 27 10 0 0 1
## 28 5 0 0 3
## 29 14 0 0 0
## Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1 0 27 0 BE10
## 2 10 37 0 BE11
## 3 4 30 1 BE12
## 4 14 27 11 BE13
## 5 5 54 11 BE14
## 6 3 13 3 BE15
## 7 6 39 1 BE16
## 8 0 14 5 BE17
## 9 5 49 1 BE18
## 10 2 32 4 BE19
## 11 36 30 14 BE2
## 12 0 14 0 BE20
## 13 15 54 6 BE21
## 14 1 27 0 BE22
## 15 0 26 0 BE23
## 16 1 27 0 BE24
## 17 0 18 1 BE25
## 18 5 26 0 BE26
## 19 1 24 1 BE27
## 20 9 14 9 BE28
## 21 0 41 0 BE29
## 22 9 25 7 BE3
## 23 6 46 1 BE30
## 24 26 40 14 BE4
## 25 0 11 0 BE5
## 26 1 16 1 BE6
## 27 0 51 1 BE7
## 28 2 22 0 BE8
## 29 14 17 5 BE9
Get the Hill Number for species richness
iNext package uses the data in a specific format: Matrix with species in rows, sites in columns.
# get the data in the proper format
bird_data <- column_to_rownames(bird_data, "site")
bird_data <- t(bird_data)
# run inext function
birds_inext <- iNEXT(bird_data, q = 0, datatype = "abundance") # q = 0 -> species richness
#Show a summary of the data
birds_inext$DataInfo## Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1 BE10 265 15 0.9850 4 3 0 1 0 0 0 0 1 2
## 2 BE11 423 32 0.9858 6 2 1 4 3 0 2 1 1 1
## 3 BE12 209 21 0.9906 2 3 0 6 2 0 1 0 0 1
## 4 BE13 333 42 0.9611 13 7 3 1 1 0 1 0 1 4
## 5 BE14 356 46 0.9608 14 7 1 3 3 4 1 0 0 1
## 6 BE15 157 41 0.9178 13 7 5 3 4 1 2 1 2 1
## 7 BE16 348 25 0.9914 3 3 0 4 0 2 3 0 0 1
## 8 BE17 209 31 0.9955 1 6 6 4 2 2 1 1 0 1
## 9 BE18 370 47 0.9568 16 5 4 6 2 0 1 3 1 0
## 10 BE19 345 37 0.9885 4 3 8 6 1 2 2 1 1 1
## 11 BE2 434 32 0.9862 6 6 1 0 2 2 1 0 1 0
## 12 BE20 149 20 0.9531 7 1 2 3 1 2 0 0 1 0
## 13 BE21 374 35 0.9867 5 2 4 2 2 3 1 3 0 0
## 14 BE22 232 23 0.9871 3 2 5 1 3 0 1 0 0 1
## 15 BE23 222 21 0.9820 4 0 5 2 2 1 0 0 0 0
## 16 BE24 312 20 0.9937 2 3 3 1 2 1 0 1 1 0
## 17 BE25 237 29 0.9707 7 7 1 0 4 0 1 0 1 2
## 18 BE26 305 26 0.9837 5 5 1 1 3 2 0 1 0 2
## 19 BE27 312 39 0.9584 13 5 5 2 1 0 1 0 2 0
## 20 BE28 267 30 0.9776 6 3 4 3 0 2 0 1 3 0
## 21 BE29 243 22 0.9919 2 3 2 0 3 1 0 0 2 1
## 22 BE3 294 40 0.9763 7 5 3 2 4 0 5 2 4 1
## 23 BE30 266 28 0.9588 11 4 1 0 0 1 1 0 2 1
## 24 BE4 415 32 0.9880 5 1 3 1 2 1 3 2 0 1
## 25 BE5 199 17 0.9850 3 2 0 1 4 1 2 0 0 1
## 26 BE6 208 26 0.9617 8 3 4 0 2 0 0 3 1 1
## 27 BE7 540 28 0.9852 8 5 1 1 1 0 1 2 0 1
## 28 BE8 219 24 0.9864 3 3 2 2 1 4 2 0 1 1
## 29 BE9 310 33 0.9742 8 2 3 1 4 2 1 0 0 1
#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
head(birds_inext$iNextEst)## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL
## 1 BE10 1 Rarefaction 0 1.000000 1.000000 1.000000
## 2 BE10 15 Rarefaction 0 5.138521 4.558673 5.718369
## 3 BE10 30 Rarefaction 0 7.261204 6.411550 8.110859
## 4 BE10 44 Rarefaction 0 8.493792 7.477987 9.509598
## 5 BE10 59 Rarefaction 0 9.433917 8.275937 10.591897
## 6 BE10 74 Rarefaction 0 10.164352 8.884752 11.443953
## 7 BE10 88 Rarefaction 0 10.736162 9.356246 12.116079
## 8 BE10 103 Rarefaction 0 11.274111 9.797721 12.750501
## 9 BE10 117 Rarefaction 0 11.727559 10.169361 13.285757
## 10 BE10 132 Rarefaction 0 12.174118 10.535356 13.812881
## 11 BE10 147 Rarefaction 0 12.587566 10.874100 14.301033
## 12 BE10 161 Rarefaction 0 12.947639 11.168560 14.726717
## 13 BE10 176 Rarefaction 0 13.308532 11.462378 15.154686
## 14 BE10 190 Rarefaction 0 13.623868 11.717064 15.530672
## 15 BE10 205 Rarefaction 0 13.940110 11.969279 15.910940
## 16 BE10 220 Rarefaction 0 14.235107 12.200086 16.270128
## 17 BE10 234 Rarefaction 0 14.492039 12.395942 16.588136
## 18 BE10 249 Rarefaction 0 14.748190 12.584344 16.912036
## 19 BE10 264 Rarefaction 0 14.984906 12.749845 17.219967
## 20 BE10 265 Observed 0 15.000000 12.760041 17.239959
## 21 BE10 266 Extrapolation 0 15.015009 12.770134 17.259884
## 22 BE10 279 Extrapolation 0 15.202582 12.892171 17.512993
## 23 BE10 293 Extrapolation 0 15.389716 13.005406 17.774026
## 24 BE10 307 Extrapolation 0 15.562580 13.101044 18.024116
## 25 BE10 321 Extrapolation 0 15.722262 13.180324 18.264199
## 26 BE10 335 Extrapolation 0 15.869767 13.244438 18.495096
## 27 BE10 349 Extrapolation 0 16.006024 13.294529 18.717520
## 28 BE10 363 Extrapolation 0 16.131891 13.331690 18.932091
## 29 BE10 377 Extrapolation 0 16.248159 13.356966 19.139353
## 30 BE10 391 Extrapolation 0 16.355562 13.371348 19.339775
## 31 BE10 404 Extrapolation 0 16.447945 13.375768 19.520123
## 32 BE10 418 Extrapolation 0 16.540113 13.371737 19.708489
## 33 BE10 432 Extrapolation 0 16.625252 13.359401 19.891103
## 34 BE10 446 Extrapolation 0 16.703899 13.339534 20.068264
## 35 BE10 460 Extrapolation 0 16.776548 13.312860 20.240237
## 36 BE10 474 Extrapolation 0 16.843658 13.280048 20.407267
## 37 BE10 488 Extrapolation 0 16.905650 13.241721 20.569579
## 38 BE10 502 Extrapolation 0 16.962915 13.198452 20.727377
## 39 BE10 516 Extrapolation 0 17.015813 13.150770 20.880855
## 40 BE10 530 Extrapolation 0 17.064677 13.099162 21.030191
## 41 BE11 1 Rarefaction 0 1.000000 1.000000 1.000000
## 42 BE11 24 Rarefaction 0 12.039825 11.389527 12.690122
## 43 BE11 47 Rarefaction 0 17.059840 16.041292 18.078388
## 44 BE11 71 Rarefaction 0 20.301219 18.999907 21.602530
## 45 BE11 94 Rarefaction 0 22.469926 20.930188 24.009665
## 46 BE11 117 Rarefaction 0 24.094760 22.333840 25.855681
## 47 BE11 141 Rarefaction 0 25.411433 23.436580 27.386286
## 48 BE11 164 Rarefaction 0 26.423742 24.259409 28.588076
## 49 BE11 188 Rarefaction 0 27.295731 24.948079 29.643383
## 50 BE11 211 Rarefaction 0 28.002310 25.490393 30.514227
## 51 BE11 234 Rarefaction 0 28.614707 25.947217 31.282197
## 52 BE11 258 Rarefaction 0 29.177696 26.354620 32.000771
## 53 BE11 281 Rarefaction 0 29.661529 26.693642 32.629415
## 54 BE11 305 Rarefaction 0 30.121871 27.005320 33.238422
## 55 BE11 328 Rarefaction 0 30.530064 27.271708 33.788419
## 56 BE11 351 Rarefaction 0 30.913169 27.512248 34.314091
## 57 BE11 375 Rarefaction 0 31.291853 27.740065 34.843640
## 58 BE11 398 Rarefaction 0 31.638444 27.939012 35.337876
## 59 BE11 422 Rarefaction 0 31.985816 28.128177 35.843454
## 60 BE11 423 Observed 0 32.000000 28.135665 35.864335
## 61 BE11 424 Extrapolation 0 32.014162 28.143122 35.885202
## 62 BE11 446 Extrapolation 0 32.320137 28.299367 36.340907
## 63 BE11 468 Extrapolation 0 32.615669 28.441082 36.790255
## 64 BE11 490 Extrapolation 0 32.901113 28.568850 37.233377
## 65 BE11 512 Extrapolation 0 33.176815 28.683252 37.670379
## 66 BE11 535 Extrapolation 0 33.454993 28.789192 38.120794
## 67 BE11 557 Extrapolation 0 33.711790 28.878057 38.545523
## 68 BE11 579 Extrapolation 0 33.959822 28.955311 38.964333
## 69 BE11 601 Extrapolation 0 34.199389 29.021514 39.377263
## 70 BE11 623 Extrapolation 0 34.430778 29.077216 39.784341
## 71 BE11 646 Extrapolation 0 34.664246 29.124799 40.203693
## 72 BE11 668 Extrapolation 0 34.879769 29.160664 40.598874
## 73 BE11 690 Extrapolation 0 35.087936 29.187599 40.988274
## 74 BE11 712 Extrapolation 0 35.288999 29.206084 41.371913
## 75 BE11 734 Extrapolation 0 35.483198 29.216577 41.749820
## 76 BE11 757 Extrapolation 0 35.679142 29.219479 42.138804
## 77 BE11 779 Extrapolation 0 35.860025 29.214972 42.505077
## 78 BE11 801 Extrapolation 0 36.034734 29.203751 42.865718
## 79 BE11 823 Extrapolation 0 36.203481 29.186195 43.220767
## 80 BE11 846 Extrapolation 0 36.373742 29.161460 43.586025
## 81 BE12 1 Rarefaction 0 1.000000 1.000000 1.000000
## 82 BE12 12 Rarefaction 0 7.345013 6.928765 7.761262
## 83 BE12 24 Rarefaction 0 10.836125 10.105233 11.567017
## 84 BE12 35 Rarefaction 0 12.944978 12.004076 13.885880
## 85 BE12 47 Rarefaction 0 14.630594 13.534880 15.726308
## 86 BE12 58 Rarefaction 0 15.821994 14.633862 17.010125
## 87 BE12 70 Rarefaction 0 16.854248 15.597038 18.111457
## 88 BE12 81 Rarefaction 0 17.616638 16.309893 18.923383
## 89 BE12 93 Rarefaction 0 18.293314 16.936219 19.650409
## 90 BE12 104 Rarefaction 0 18.800803 17.395310 20.206295
## 91 BE12 116 Rarefaction 0 19.256608 17.793333 20.719883
## 92 BE12 127 Rarefaction 0 19.602546 18.081654 21.123437
## 93 BE12 139 Rarefaction 0 19.917558 18.329905 21.505211
## 94 BE12 150 Rarefaction 0 20.160627 18.509580 21.811674
## 95 BE12 162 Rarefaction 0 20.386195 18.664999 22.107392
## 96 BE12 173 Rarefaction 0 20.563733 18.778201 22.349266
## 97 BE12 185 Rarefaction 0 20.731389 18.876112 22.586666
## 98 BE12 196 Rarefaction 0 20.864776 18.945942 22.783610
## 99 BE12 208 Rarefaction 0 20.990431 19.002179 22.978682
## 100 BE12 209 Observed 0 21.000000 19.005933 22.994067
## 101 BE12 210 Extrapolation 0 21.009433 19.009568 23.009298
## 102 BE12 220 Extrapolation 0 21.096696 19.039629 23.153763
## 103 BE12 231 Extrapolation 0 21.179299 19.060621 23.297976
## 104 BE12 242 Extrapolation 0 21.249863 19.070806 23.428921
## 105 BE12 253 Extrapolation 0 21.310144 19.072015 23.548273
## 106 BE12 264 Extrapolation 0 21.361639 19.065877 23.657401
## 107 BE12 275 Extrapolation 0 21.405629 19.053784 23.757473
## 108 BE12 286 Extrapolation 0 21.443208 19.036904 23.849511
## 109 BE12 297 Extrapolation 0 21.475310 19.016207 23.934412
## 110 BE12 308 Extrapolation 0 21.502734 18.992497 24.012970
## 111 BE12 319 Extrapolation 0 21.526160 18.966437 24.085884
## 112 BE12 330 Extrapolation 0 21.546173 18.938579 24.153767
## 113 BE12 341 Extrapolation 0 21.563269 18.909378 24.217160
## 114 BE12 352 Extrapolation 0 21.577873 18.879211 24.276536
## 115 BE12 363 Extrapolation 0 21.590349 18.848391 24.332308
## 116 BE12 374 Extrapolation 0 21.601007 18.817176 24.384838
## 117 BE12 385 Extrapolation 0 21.610111 18.785779 24.434444
## 118 BE12 396 Extrapolation 0 21.617889 18.754377 24.481401
## 119 BE12 407 Extrapolation 0 21.624533 18.723114 24.525952
## 120 BE12 418 Extrapolation 0 21.630209 18.692107 24.568311
## 121 BE13 1 Rarefaction 0 1.000000 1.000000 1.000000
## 122 BE13 19 Rarefaction 0 12.630236 12.098894 13.161577
## 123 BE13 37 Rarefaction 0 18.418019 17.307160 19.528877
## 124 BE13 56 Rarefaction 0 22.229059 20.630901 23.827216
## 125 BE13 74 Rarefaction 0 24.851477 22.878298 26.824655
## 126 BE13 92 Rarefaction 0 26.959730 24.677579 29.241881
## 127 BE13 111 Rarefaction 0 28.848596 26.295705 31.401488
## 128 BE13 129 Rarefaction 0 30.427141 27.656658 33.197623
## 129 BE13 148 Rarefaction 0 31.933919 28.962903 34.904935
## 130 BE13 166 Rarefaction 0 33.243929 30.102017 36.385841
## 131 BE13 184 Rarefaction 0 34.459533 31.159101 37.759964
## 132 BE13 203 Rarefaction 0 35.654192 32.194954 39.113431
## 133 BE13 221 Rarefaction 0 36.711440 33.106399 40.316480
## 134 BE13 240 Rarefaction 0 37.756304 33.999504 41.513104
## 135 BE13 258 Rarefaction 0 38.684490 34.783938 42.585041
## 136 BE13 276 Rarefaction 0 39.557362 35.511466 43.603257
## 137 BE13 295 Rarefaction 0 40.423182 36.220629 44.625735
## 138 BE13 313 Rarefaction 0 41.194588 36.839269 45.549907
## 139 BE13 332 Rarefaction 0 41.960961 37.438526 46.483396
## 140 BE13 333 Observed 0 42.000000 37.468579 46.531421
## 141 BE13 334 Extrapolation 0 42.038913 37.498486 46.579339
## 142 BE13 351 Extrapolation 0 42.681509 37.984686 47.378332
## 143 BE13 368 Extrapolation 0 43.289684 38.429671 48.149696
## 144 BE13 386 Extrapolation 0 43.898162 38.857343 48.938982
## 145 BE13 403 Extrapolation 0 44.441165 39.221756 49.660575
## 146 BE13 421 Extrapolation 0 44.984440 39.567682 50.401197
## 147 BE13 438 Extrapolation 0 45.469255 39.858582 51.079928
## 148 BE13 456 Extrapolation 0 45.954312 40.130816 51.777808
## 149 BE13 473 Extrapolation 0 46.387175 40.356159 52.418190
## 150 BE13 491 Extrapolation 0 46.820254 40.563305 53.077202
## 151 BE13 508 Extrapolation 0 47.206731 40.731232 53.682230
## 152 BE13 526 Extrapolation 0 47.593401 40.881787 54.305016
## 153 BE13 543 Extrapolation 0 47.938464 41.000108 54.876819
## 154 BE13 561 Extrapolation 0 48.283699 41.102038 55.465359
## 155 BE13 578 Extrapolation 0 48.591784 41.177942 56.005627
## 156 BE13 596 Extrapolation 0 48.900024 41.238467 56.561581
## 157 BE13 613 Extrapolation 0 49.175096 41.278387 57.071805
## 158 BE13 631 Extrapolation 0 49.450305 41.303907 57.596702
## 159 BE13 648 Extrapolation 0 49.695900 41.313501 58.078298
## 160 BE13 666 Extrapolation 0 49.941617 41.309609 58.573625
## 161 BE14 1 Rarefaction 0 1.000000 1.000000 1.000000
## 162 BE14 20 Rarefaction 0 13.090894 12.451034 13.730754
## 163 BE14 40 Rarefaction 0 19.715451 18.442431 20.988471
## 164 BE14 60 Rarefaction 0 24.044829 22.312664 25.776993
## 165 BE14 79 Rarefaction 0 27.113808 25.049160 29.178457
## 166 BE14 99 Rarefaction 0 29.707403 27.356952 32.057854
## 167 BE14 119 Rarefaction 0 31.874377 29.276915 34.471839
## 168 BE14 138 Rarefaction 0 33.653495 30.842854 36.464137
## 169 BE14 158 Rarefaction 0 35.306797 32.285593 38.328000
## 170 BE14 178 Rarefaction 0 36.786473 33.563847 40.009099
## 171 BE14 197 Rarefaction 0 38.065288 34.657302 41.473273
## 172 BE14 217 Rarefaction 0 39.303941 35.705899 42.901983
## 173 BE14 237 Rarefaction 0 40.452149 36.668659 44.235639
## 174 BE14 256 Rarefaction 0 41.472750 37.517063 45.428436
## 175 BE14 276 Rarefaction 0 42.483624 38.350573 46.616674
## 176 BE14 296 Rarefaction 0 43.437131 39.130292 47.743970
## 177 BE14 315 Rarefaction 0 44.294857 39.825669 48.764044
## 178 BE14 335 Rarefaction 0 45.150687 40.512692 49.788682
## 179 BE14 355 Rarefaction 0 45.960674 41.154936 50.766412
## 180 BE14 356 Observed 0 46.000000 41.185879 50.814121
## 181 BE14 357 Extrapolation 0 46.039215 41.216711 50.861719
## 182 BE14 375 Extrapolation 0 46.726552 41.752726 51.700378
## 183 BE14 394 Extrapolation 0 47.415292 42.279960 52.550624
## 184 BE14 413 Extrapolation 0 48.068189 42.768383 53.367995
## 185 BE14 431 Extrapolation 0 48.655350 43.196218 54.114482
## 186 BE14 450 Extrapolation 0 49.243710 43.612166 54.875255
## 187 BE14 469 Extrapolation 0 49.801451 43.992857 55.610044
## 188 BE14 487 Extrapolation 0 50.303037 44.322369 56.283704
## 189 BE14 506 Extrapolation 0 50.805647 44.638860 56.972433
## 190 BE14 525 Extrapolation 0 51.282100 44.924826 57.639373
## 191 BE14 543 Extrapolation 0 51.710582 45.169130 58.252035
## 192 BE14 562 Extrapolation 0 52.139940 45.400546 58.879334
## 193 BE14 581 Extrapolation 0 52.546952 45.606439 59.487465
## 194 BE14 599 Extrapolation 0 52.912986 45.779440 60.046533
## 195 BE14 618 Extrapolation 0 53.279767 45.940285 60.619250
## 196 BE14 637 Extrapolation 0 53.627460 46.080268 61.174652
## 197 BE14 655 Extrapolation 0 53.940146 46.194953 61.685339
## 198 BE14 674 Extrapolation 0 54.253471 46.298397 62.208546
## 199 BE14 693 Extrapolation 0 54.550490 46.385025 62.715955
## 200 BE14 712 Extrapolation 0 54.832051 46.456056 63.208045
## 201 BE15 1 Rarefaction 0 1.000000 1.000000 1.000000
## 202 BE15 9 Rarefaction 0 7.814112 7.614152 8.014071
## 203 BE15 18 Rarefaction 0 13.581021 12.995790 14.166253
## 204 BE15 26 Rarefaction 0 17.562965 16.628578 18.497352
## 205 BE15 35 Rarefaction 0 21.159334 19.864740 22.453927
## 206 BE15 44 Rarefaction 0 24.092468 22.477594 25.707342
## 207 BE15 52 Rarefaction 0 26.293249 24.423719 28.162780
## 208 BE15 61 Rarefaction 0 28.424764 26.296305 30.553223
## 209 BE15 69 Rarefaction 0 30.080357 27.740728 32.419985
## 210 BE15 78 Rarefaction 0 31.730038 29.168294 34.291781
## 211 BE15 87 Rarefaction 0 33.197592 30.424748 35.970437
## 212 BE15 95 Rarefaction 0 34.376523 31.421608 37.331438
## 213 BE15 104 Rarefaction 0 35.585023 32.428308 38.741737
## 214 BE15 112 Rarefaction 0 36.570246 33.234691 39.905800
## 215 BE15 121 Rarefaction 0 37.593139 34.055025 41.131254
## 216 BE15 130 Rarefaction 0 38.537964 34.794186 42.281743
## 217 BE15 138 Rarefaction 0 39.320806 35.390435 43.251178
## 218 BE15 147 Rarefaction 0 40.145276 35.999560 44.290993
## 219 BE15 156 Rarefaction 0 40.917197 36.549218 45.285177
## 220 BE15 157 Observed 0 41.000000 36.606846 45.393154
## 221 BE15 158 Extrapolation 0 41.082235 36.663807 45.500663
## 222 BE15 166 Extrapolation 0 41.720138 37.096086 46.344190
## 223 BE15 174 Extrapolation 0 42.323882 37.488538 47.159225
## 224 BE15 182 Extrapolation 0 42.895295 37.843661 47.946929
## 225 BE15 190 Extrapolation 0 43.436109 38.163908 48.708309
## 226 BE15 199 Extrapolation 0 44.009986 38.485474 49.534497
## 227 BE15 207 Extrapolation 0 44.491108 38.739447 50.242769
## 228 BE15 215 Extrapolation 0 44.946466 38.965718 50.927215
## 229 BE15 223 Extrapolation 0 45.377440 39.166365 51.588516
## 230 BE15 231 Extrapolation 0 45.785336 39.343345 52.227326
## 231 BE15 240 Extrapolation 0 46.218168 39.516437 52.919898
## 232 BE15 248 Extrapolation 0 46.581042 39.649060 53.513024
## 233 BE15 256 Extrapolation 0 46.924485 39.763340 54.085629
## 234 BE15 264 Extrapolation 0 47.249536 39.860739 54.638333
## 235 BE15 272 Extrapolation 0 47.557180 39.942608 55.171753
## 236 BE15 281 Extrapolation 0 47.883633 40.017703 55.749563
## 237 BE15 289 Extrapolation 0 48.157322 40.070610 56.244034
## 238 BE15 297 Extrapolation 0 48.416355 40.111590 56.721120
## 239 BE15 305 Extrapolation 0 48.661516 40.141620 57.181413
## 240 BE15 314 Extrapolation 0 48.921666 40.163435 57.679897
## 241 BE16 1 Rarefaction 0 1.000000 1.000000 1.000000
## 242 BE16 20 Rarefaction 0 9.838871 9.180555 10.497186
## 243 BE16 39 Rarefaction 0 13.870646 12.867911 14.873381
## 244 BE16 58 Rarefaction 0 16.410256 15.209391 17.611120
## 245 BE16 77 Rarefaction 0 18.170957 16.827443 19.514471
## 246 BE16 97 Rarefaction 0 19.523013 18.055870 20.990155
## 247 BE16 116 Rarefaction 0 20.500838 18.927527 22.074149
## 248 BE16 135 Rarefaction 0 21.275369 19.600527 22.950210
## 249 BE16 154 Rarefaction 0 21.904830 20.130444 23.679215
## 250 BE16 174 Rarefaction 0 22.452784 20.574842 24.330726
## 251 BE16 193 Rarefaction 0 22.891794 20.916680 24.866908
## 252 BE16 212 Rarefaction 0 23.270094 21.199395 25.340792
## 253 BE16 231 Rarefaction 0 23.600869 21.436667 25.765070
## 254 BE16 250 Rarefaction 0 23.893699 21.638504 26.148894
## 255 BE16 270 Rarefaction 0 24.168590 21.820644 26.516536
## 256 BE16 289 Rarefaction 0 24.403287 21.970240 26.836334
## 257 BE16 308 Rarefaction 0 24.615804 22.100548 27.131061
## 258 BE16 327 Rarefaction 0 24.808491 22.213701 27.403281
## 259 BE16 347 Rarefaction 0 24.991379 22.315324 27.667435
## 260 BE16 348 Observed 0 25.000000 22.319936 27.680064
## 261 BE16 349 Extrapolation 0 25.008571 22.324499 27.692644
## 262 BE16 367 Extrapolation 0 25.154722 22.398405 27.911038
## 263 BE16 385 Extrapolation 0 25.286509 22.457296 28.115721
## 264 BE16 403 Extrapolation 0 25.405344 22.502188 28.308500
## 265 BE16 422 Extrapolation 0 25.518135 22.535631 28.500639
## 266 BE16 440 Extrapolation 0 25.614207 22.555307 28.673106
## 267 BE16 458 Extrapolation 0 25.700837 22.564442 28.837231
## 268 BE16 476 Extrapolation 0 25.778953 22.564101 28.993805
## 269 BE16 495 Extrapolation 0 25.853096 22.554561 29.151631
## 270 BE16 513 Extrapolation 0 25.916248 22.537792 29.294705
## 271 BE16 531 Extrapolation 0 25.973195 22.514363 29.432026
## 272 BE16 549 Extrapolation 0 26.024544 22.485049 29.564039
## 273 BE16 568 Extrapolation 0 26.073282 22.448500 29.698064
## 274 BE16 586 Extrapolation 0 26.114795 22.409231 29.820359
## 275 BE16 604 Extrapolation 0 26.152228 22.366034 29.938423
## 276 BE16 622 Extrapolation 0 26.185983 22.319429 30.052537
## 277 BE16 641 Extrapolation 0 26.218021 22.267056 30.168986
## 278 BE16 659 Extrapolation 0 26.245309 22.214869 30.275749
## 279 BE16 677 Extrapolation 0 26.269916 22.160568 30.379264
## 280 BE16 696 Extrapolation 0 26.293271 22.101330 30.485212
## 281 BE17 1 Rarefaction 0 1.000000 1.000000 1.000000
## 282 BE17 12 Rarefaction 0 9.239218 8.825713 9.652723
## 283 BE17 24 Rarefaction 0 14.739250 13.771952 15.706548
## 284 BE17 35 Rarefaction 0 18.171689 16.839039 19.504338
## 285 BE17 47 Rarefaction 0 20.939536 19.345130 22.533943
## 286 BE17 58 Rarefaction 0 22.907156 21.158352 24.655959
## 287 BE17 70 Rarefaction 0 24.622764 22.763615 26.481913
## 288 BE17 81 Rarefaction 0 25.898287 23.969871 27.826703
## 289 BE17 93 Rarefaction 0 27.036050 25.051475 29.020625
## 290 BE17 104 Rarefaction 0 27.890092 25.863369 29.916814
## 291 BE17 116 Rarefaction 0 28.652185 26.583907 30.720463
## 292 BE17 127 Rarefaction 0 29.220580 27.115216 31.325943
## 293 BE17 139 Rarefaction 0 29.721365 27.574642 31.868088
## 294 BE17 150 Rarefaction 0 30.087637 27.901154 32.274119
## 295 BE17 162 Rarefaction 0 30.401422 28.168859 32.633985
## 296 BE17 173 Rarefaction 0 30.621954 28.344187 32.899722
## 297 BE17 185 Rarefaction 0 30.800304 28.469343 33.131264
## 298 BE17 196 Rarefaction 0 30.915086 28.530959 33.299213
## 299 BE17 208 Rarefaction 0 30.995215 28.546851 33.443579
## 300 BE17 209 Observed 0 31.000000 28.545929 33.454071
## 301 BE17 210 Extrapolation 0 31.004524 28.544704 33.464344
## 302 BE17 220 Extrapolation 0 31.038186 28.519140 33.557231
## 303 BE17 231 Extrapolation 0 31.058789 28.472206 33.645373
## 304 BE17 242 Extrapolation 0 31.069907 28.414433 33.725380
## 305 BE17 253 Extrapolation 0 31.075905 28.350899 33.800912
## 306 BE17 264 Extrapolation 0 31.079142 28.284474 33.873809
## 307 BE17 275 Extrapolation 0 31.080888 28.216842 33.944934
## 308 BE17 286 Extrapolation 0 31.081830 28.149025 34.014635
## 309 BE17 297 Extrapolation 0 31.082339 28.081667 34.083010
## 310 BE17 308 Extrapolation 0 31.082613 28.015183 34.150043
## 311 BE17 319 Extrapolation 0 31.082761 27.949847 34.215675
## 312 BE17 330 Extrapolation 0 31.082841 27.885839 34.279843
## 313 BE17 341 Extrapolation 0 31.082884 27.823278 34.342490
## 314 BE17 352 Extrapolation 0 31.082907 27.762239 34.403575
## 315 BE17 363 Extrapolation 0 31.082920 27.702765 34.463074
## 316 BE17 374 Extrapolation 0 31.082927 27.644877 34.520976
## 317 BE17 385 Extrapolation 0 31.082930 27.588578 34.577283
## 318 BE17 396 Extrapolation 0 31.082932 27.533858 34.632007
## 319 BE17 407 Extrapolation 0 31.082933 27.480700 34.685167
## 320 BE17 418 Extrapolation 0 31.082934 27.429077 34.736791
## 321 BE18 1 Rarefaction 0 1.000000 1.000000 1.000000
## 322 BE18 21 Rarefaction 0 12.112884 11.395383 12.830385
## 323 BE18 41 Rarefaction 0 18.210635 16.923681 19.497589
## 324 BE18 62 Rarefaction 0 22.736555 20.939060 24.534050
## 325 BE18 82 Rarefaction 0 26.072384 23.851754 28.293014
## 326 BE18 103 Rarefaction 0 28.939061 26.323521 31.554600
## 327 BE18 123 Rarefaction 0 31.252803 28.295463 34.210143
## 328 BE18 144 Rarefaction 0 33.362580 30.072890 36.652271
## 329 BE18 164 Rarefaction 0 35.137727 31.550854 38.724600
## 330 BE18 185 Rarefaction 0 36.807405 32.924524 40.690286
## 331 BE18 205 Rarefaction 0 38.247899 34.095569 42.400229
## 332 BE18 225 Rarefaction 0 39.568693 35.157023 43.980363
## 333 BE18 246 Rarefaction 0 40.848993 36.174106 45.523879
## 334 BE18 266 Rarefaction 0 41.984018 37.065599 46.902437
## 335 BE18 287 Rarefaction 0 43.102250 37.934099 48.270400
## 336 BE18 307 Rarefaction 0 44.108755 38.707031 49.510479
## 337 BE18 328 Rarefaction 0 45.114332 39.470285 50.758380
## 338 BE18 348 Rarefaction 0 46.030936 40.157415 51.904456
## 339 BE18 369 Rarefaction 0 46.956757 40.842078 53.071436
## 340 BE18 370 Observed 0 47.000000 40.873805 53.126195
## 341 BE18 371 Extrapolation 0 47.043170 40.905454 53.180886
## 342 BE18 390 Extrapolation 0 47.849673 41.492134 54.207212
## 343 BE18 409 Extrapolation 0 48.630655 42.051102 55.210209
## 344 BE18 429 Extrapolation 0 49.426060 42.609788 56.242331
## 345 BE18 448 Extrapolation 0 50.157161 43.112606 57.201716
## 346 BE18 468 Extrapolation 0 50.901762 43.612867 58.190658
## 347 BE18 487 Extrapolation 0 51.586168 44.060996 59.111341
## 348 BE18 506 Extrapolation 0 52.248917 44.483227 60.014607
## 349 BE18 526 Extrapolation 0 52.923905 44.900360 60.947449
## 350 BE18 545 Extrapolation 0 53.544324 45.271378 61.817270
## 351 BE18 565 Extrapolation 0 54.176200 45.636149 62.716250
## 352 BE18 584 Extrapolation 0 54.756993 45.959005 63.554981
## 353 BE18 604 Extrapolation 0 55.348510 46.274834 64.422187
## 354 BE18 623 Extrapolation 0 55.892208 46.552923 65.231493
## 355 BE18 642 Extrapolation 0 56.418702 46.810486 66.026917
## 356 BE18 662 Extrapolation 0 56.954917 47.060363 66.849472
## 357 BE18 681 Extrapolation 0 57.447784 47.278449 67.617119
## 358 BE18 701 Extrapolation 0 57.949751 47.488632 68.410870
## 359 BE18 720 Extrapolation 0 58.411138 47.670751 69.151526
## 360 BE18 740 Extrapolation 0 58.881045 47.844868 69.917222
## 361 BE19 1 Rarefaction 0 1.000000 1.000000 1.000000
## 362 BE19 20 Rarefaction 0 11.653124 11.021490 12.284757
## 363 BE19 39 Rarefaction 0 17.536342 16.489377 18.583306
## 364 BE19 58 Rarefaction 0 21.624550 20.261792 22.987309
## 365 BE19 77 Rarefaction 0 24.681593 23.072754 26.290432
## 366 BE19 96 Rarefaction 0 27.060479 25.257671 28.863287
## 367 BE19 115 Rarefaction 0 28.957737 26.998266 30.917207
## 368 BE19 134 Rarefaction 0 30.494614 28.404814 32.584414
## 369 BE19 153 Rarefaction 0 31.751758 29.550513 33.953002
## 370 BE19 172 Rarefaction 0 32.786321 30.487500 35.085142
## 371 BE19 191 Rarefaction 0 33.640998 31.254941 36.027055
## 372 BE19 210 Rarefaction 0 34.349033 31.883445 36.814622
## 373 BE19 229 Rarefaction 0 34.937175 32.397664 37.476685
## 374 BE19 248 Rarefaction 0 35.427491 32.817904 38.037079
## 375 BE19 267 Rarefaction 0 35.838555 33.161171 38.515939
## 376 BE19 286 Rarefaction 0 36.186226 33.441859 38.930594
## 377 BE19 305 Rarefaction 0 36.484182 33.672200 39.296165
## 378 BE19 324 Rarefaction 0 36.744274 33.862554 39.625994
## 379 BE19 344 Rarefaction 0 36.988406 34.029235 39.947577
## 380 BE19 345 Observed 0 37.000000 34.036813 39.963187
## 381 BE19 346 Extrapolation 0 37.011544 34.044325 39.978762
## 382 BE19 364 Extrapolation 0 37.210970 34.168555 40.253386
## 383 BE19 382 Extrapolation 0 37.395374 34.272791 40.517958
## 384 BE19 400 Extrapolation 0 37.565887 34.358263 40.773511
## 385 BE19 418 Extrapolation 0 37.723556 34.426256 41.020856
## 386 BE19 436 Extrapolation 0 37.869347 34.478103 41.260590
## 387 BE19 454 Extrapolation 0 38.004156 34.515166 41.493145
## 388 BE19 472 Extrapolation 0 38.128809 34.538792 41.718826
## 389 BE19 490 Extrapolation 0 38.244073 34.550296 41.937850
## 390 BE19 508 Extrapolation 0 38.350654 34.550927 42.150381
## 391 BE19 527 Extrapolation 0 38.454458 34.541095 42.367821
## 392 BE19 545 Extrapolation 0 38.545191 34.522974 42.567408
## 393 BE19 563 Extrapolation 0 38.629089 34.497301 42.760877
## 394 BE19 581 Extrapolation 0 38.706667 34.464984 42.948349
## 395 BE19 599 Extrapolation 0 38.778401 34.426847 43.129954
## 396 BE19 617 Extrapolation 0 38.844731 34.383635 43.305827
## 397 BE19 635 Extrapolation 0 38.906065 34.336015 43.476115
## 398 BE19 653 Extrapolation 0 38.962778 34.284590 43.640967
## 399 BE19 671 Extrapolation 0 39.015219 34.229897 43.800541
## 400 BE19 690 Extrapolation 0 39.066295 34.169155 43.963434
## 401 BE2 1 Rarefaction 0 1.000000 1.000000 1.000000
## 402 BE2 25 Rarefaction 0 13.023076 12.478861 13.567291
## 403 BE2 49 Rarefaction 0 17.407399 16.390634 18.424164
## 404 BE2 73 Rarefaction 0 19.980530 18.625280 21.335779
## 405 BE2 97 Rarefaction 0 21.838222 20.233468 23.442976
## 406 BE2 121 Rarefaction 0 23.304229 21.505948 25.102510
## 407 BE2 145 Rarefaction 0 24.518636 22.562727 26.474545
## 408 BE2 169 Rarefaction 0 25.557721 23.467186 27.648257
## 409 BE2 193 Rarefaction 0 26.467683 24.256878 28.678488
## 410 BE2 217 Rarefaction 0 27.278150 24.955477 29.600824
## 411 BE2 241 Rarefaction 0 28.008871 25.578566 30.439177
## 412 BE2 265 Rarefaction 0 28.673349 26.136769 31.209929
## 413 BE2 289 Rarefaction 0 29.280941 26.637531 31.924352
## 414 BE2 313 Rarefaction 0 29.838156 27.086173 32.590139
## 415 BE2 337 Rarefaction 0 30.349501 27.486544 33.212459
## 416 BE2 361 Rarefaction 0 30.818092 27.841442 33.794742
## 417 BE2 385 Rarefaction 0 31.246090 28.152901 34.339280
## 418 BE2 409 Rarefaction 0 31.635050 28.422406 34.847694
## 419 BE2 433 Rarefaction 0 31.986175 28.651065 35.321286
## 420 BE2 434 Observed 0 32.000000 28.659719 35.340281
## 421 BE2 435 Extrapolation 0 32.013761 28.668064 35.359459
## 422 BE2 457 Extrapolation 0 32.301007 28.834639 35.767374
## 423 BE2 480 Extrapolation 0 32.571742 28.976110 36.167373
## 424 BE2 503 Extrapolation 0 32.815250 29.087282 36.543217
## 425 BE2 526 Extrapolation 0 33.034269 29.171149 36.897389
## 426 BE2 548 Extrapolation 0 33.223124 29.228420 37.217828
## 427 BE2 571 Extrapolation 0 33.401124 29.266837 37.535412
## 428 BE2 594 Extrapolation 0 33.561224 29.285714 37.836733
## 429 BE2 617 Extrapolation 0 33.705222 29.287277 38.123168
## 430 BE2 640 Extrapolation 0 33.834739 29.273549 38.395930
## 431 BE2 662 Extrapolation 0 33.946419 29.247801 38.645037
## 432 BE2 685 Extrapolation 0 34.051680 29.209285 38.894074
## 433 BE2 708 Extrapolation 0 34.146354 29.160381 39.132328
## 434 BE2 731 Extrapolation 0 34.231508 29.102421 39.360595
## 435 BE2 754 Extrapolation 0 34.308098 29.036596 39.579600
## 436 BE2 776 Extrapolation 0 34.374140 28.967256 39.781023
## 437 BE2 799 Extrapolation 0 34.436386 28.889014 39.983757
## 438 BE2 822 Extrapolation 0 34.492372 28.805728 40.179015
## 439 BE2 845 Extrapolation 0 34.542727 28.718151 40.367303
## 440 BE2 868 Extrapolation 0 34.588019 28.626955 40.549083
## 441 BE20 1 Rarefaction 0 1.000000 1.000000 1.000000
## 442 BE20 9 Rarefaction 0 4.998871 4.440355 5.557386
## 443 BE20 17 Rarefaction 0 7.549573 6.587594 8.511551
## 444 BE20 25 Rarefaction 0 9.491694 8.155433 10.827954
## 445 BE20 33 Rarefaction 0 11.025323 9.342673 12.707973
## 446 BE20 41 Rarefaction 0 12.273575 10.272634 14.274516
## 447 BE20 50 Rarefaction 0 13.433704 11.103259 15.764150
## 448 BE20 58 Rarefaction 0 14.304538 11.700979 16.908098
## 449 BE20 66 Rarefaction 0 15.061033 12.198281 17.923785
## 450 BE20 74 Rarefaction 0 15.728438 12.616884 18.839992
## 451 BE20 82 Rarefaction 0 16.325805 12.973166 19.678445
## 452 BE20 90 Rarefaction 0 16.867926 13.279902 20.455950
## 453 BE20 99 Rarefaction 0 17.426259 13.578340 21.274179
## 454 BE20 107 Rarefaction 0 17.886975 13.811103 21.962847
## 455 BE20 115 Rarefaction 0 18.321915 14.020025 22.623804
## 456 BE20 123 Rarefaction 0 18.737000 14.210320 23.263680
## 457 BE20 131 Rarefaction 0 19.136982 14.386192 23.887772
## 458 BE20 139 Rarefaction 0 19.525643 14.551010 24.500276
## 459 BE20 148 Rarefaction 0 19.953020 14.726511 25.179529
## 460 BE20 149 Observed 0 20.000000 14.745488 25.254512
## 461 BE20 150 Extrapolation 0 20.046889 14.764372 25.329407
## 462 BE20 157 Extrapolation 0 20.372595 14.893947 25.851243
## 463 BE20 165 Extrapolation 0 20.739485 15.036391 26.442579
## 464 BE20 173 Extrapolation 0 21.100758 15.172752 27.028763
## 465 BE20 181 Extrapolation 0 21.456499 15.302977 27.610022
## 466 BE20 188 Extrapolation 0 21.763302 15.411860 28.114744
## 467 BE20 196 Extrapolation 0 22.108900 15.530499 28.687300
## 468 BE20 204 Extrapolation 0 22.449206 15.642963 29.255448
## 469 BE20 212 Extrapolation 0 22.784301 15.749285 29.819318
## 470 BE20 220 Extrapolation 0 23.114267 15.849521 30.379012
## 471 BE20 227 Extrapolation 0 23.398839 15.932297 30.865382
## 472 BE20 235 Extrapolation 0 23.719395 16.021347 31.417444
## 473 BE20 243 Extrapolation 0 24.035044 16.104582 31.965505
## 474 BE20 251 Extrapolation 0 24.345859 16.182125 32.509593
## 475 BE20 259 Extrapolation 0 24.651916 16.254110 33.049722
## 476 BE20 266 Extrapolation 0 24.915869 16.312649 33.519089
## 477 BE20 274 Extrapolation 0 25.213198 16.374601 34.051796
## 478 BE20 282 Extrapolation 0 25.505975 16.431421 34.580530
## 479 BE20 290 Extrapolation 0 25.794270 16.483264 35.105276
## 480 BE20 298 Extrapolation 0 26.078150 16.530289 35.626012
## 481 BE21 1 Rarefaction 0 1.000000 1.000000 1.000000
## 482 BE21 21 Rarefaction 0 13.115679 12.507613 13.723744
## 483 BE21 42 Rarefaction 0 19.201210 18.177367 20.225053
## 484 BE21 63 Rarefaction 0 22.873653 21.591732 24.155574
## 485 BE21 83 Rarefaction 0 25.261995 23.786507 26.737483
## 486 BE21 104 Rarefaction 0 27.101914 25.450032 28.753796
## 487 BE21 125 Rarefaction 0 28.509440 26.698937 30.319942
## 488 BE21 145 Rarefaction 0 29.577591 27.628414 31.526769
## 489 BE21 166 Rarefaction 0 30.494988 28.410348 32.579628
## 490 BE21 187 Rarefaction 0 31.257564 29.045437 33.469691
## 491 BE21 207 Rarefaction 0 31.874714 29.546689 34.202739
## 492 BE21 228 Rarefaction 0 32.434287 29.988750 34.879824
## 493 BE21 249 Rarefaction 0 32.922967 30.362896 35.483038
## 494 BE21 269 Rarefaction 0 33.336297 30.668938 36.003655
## 495 BE21 290 Rarefaction 0 33.726760 30.947761 36.505760
## 496 BE21 311 Rarefaction 0 34.081608 31.191181 36.972034
## 497 BE21 331 Rarefaction 0 34.393189 31.396090 37.390288
## 498 BE21 352 Rarefaction 0 34.698527 31.588040 37.809015
## 499 BE21 373 Rarefaction 0 34.986631 31.760483 38.212779
## 500 BE21 374 Observed 0 35.000000 31.768272 38.231728
## 501 BE21 375 Extrapolation 0 35.013340 31.776025 38.250656
## 502 BE21 394 Extrapolation 0 35.261452 31.916232 38.606672
## 503 BE21 414 Extrapolation 0 35.511937 32.049132 38.974743
## 504 BE21 433 Extrapolation 0 35.740160 32.161515 39.318805
## 505 BE21 453 Extrapolation 0 35.970566 32.265598 39.675534
## 506 BE21 473 Extrapolation 0 36.191308 32.355716 40.026900
## 507 BE21 492 Extrapolation 0 36.392431 32.429089 40.355773
## 508 BE21 512 Extrapolation 0 36.595478 32.494246 40.696709
## 509 BE21 532 Extrapolation 0 36.790008 32.547874 41.032142
## 510 BE21 551 Extrapolation 0 36.967249 32.588933 41.345565
## 511 BE21 571 Extrapolation 0 37.146186 32.622553 41.669818
## 512 BE21 590 Extrapolation 0 37.309219 32.646094 41.972343
## 513 BE21 610 Extrapolation 0 37.473812 32.662760 42.284863
## 514 BE21 630 Extrapolation 0 37.631501 32.671798 42.591203
## 515 BE21 649 Extrapolation 0 37.775175 32.673916 42.876433
## 516 BE21 669 Extrapolation 0 37.920223 32.669915 43.170532
## 517 BE21 689 Extrapolation 0 38.059188 32.660067 43.458309
## 518 BE21 708 Extrapolation 0 38.185802 32.645761 43.725842
## 519 BE21 728 Extrapolation 0 38.313627 32.625936 44.001318
## 520 BE21 748 Extrapolation 0 38.436091 32.601642 44.270539
## 521 BE22 1 Rarefaction 0 1.000000 1.000000 1.000000
## 522 BE22 13 Rarefaction 0 7.899465 7.435384 8.363545
## 523 BE22 26 Rarefaction 0 11.603777 10.804000 12.403553
## 524 BE22 39 Rarefaction 0 13.950397 12.865118 15.035676
## 525 BE22 52 Rarefaction 0 15.644976 14.323377 16.966575
## 526 BE22 64 Rarefaction 0 16.872635 15.370846 18.374423
## 527 BE22 77 Rarefaction 0 17.957380 16.291299 19.623462
## 528 BE22 90 Rarefaction 0 18.852567 17.044655 20.660480
## 529 BE22 103 Rarefaction 0 19.599490 17.664438 21.534542
## 530 BE22 116 Rarefaction 0 20.226705 18.173534 22.279876
## 531 BE22 128 Rarefaction 0 20.718151 18.560457 22.875845
## 532 BE22 141 Rarefaction 0 21.171919 18.903225 23.440614
## 533 BE22 154 Rarefaction 0 21.557731 19.178470 23.936992
## 534 BE22 167 Rarefaction 0 21.887440 19.396771 24.378109
## 535 BE22 179 Rarefaction 0 22.150670 19.555734 24.745606
## 536 BE22 192 Rarefaction 0 22.399347 19.689482 25.109211
## 537 BE22 205 Rarefaction 0 22.617351 19.790275 25.444426
## 538 BE22 218 Rarefaction 0 22.811278 19.864568 25.757988
## 539 BE22 231 Rarefaction 0 22.987069 19.918164 26.055973
## 540 BE22 232 Observed 0 23.000000 19.921584 26.078416
## 541 BE22 233 Extrapolation 0 23.012857 19.924920 26.100793
## 542 BE22 245 Extrapolation 0 23.161503 19.958668 26.364337
## 543 BE22 257 Extrapolation 0 23.300229 19.981580 26.618879
## 544 BE22 269 Extrapolation 0 23.429698 19.994758 26.864639
## 545 BE22 281 Extrapolation 0 23.550527 19.999265 27.101789
## 546 BE22 293 Extrapolation 0 23.663292 19.996093 27.330491
## 547 BE22 305 Extrapolation 0 23.768532 19.986151 27.550913
## 548 BE22 318 Extrapolation 0 23.874632 19.968693 27.780571
## 549 BE22 330 Extrapolation 0 23.965768 19.947193 27.984344
## 550 BE22 342 Extrapolation 0 24.050823 19.921200 28.180446
## 551 BE22 354 Extrapolation 0 24.130201 19.891299 28.369104
## 552 BE22 366 Extrapolation 0 24.204283 19.858012 28.550554
## 553 BE22 378 Extrapolation 0 24.273420 19.821802 28.725039
## 554 BE22 391 Extrapolation 0 24.343123 19.779754 28.906491
## 555 BE22 403 Extrapolation 0 24.402995 19.738729 29.067261
## 556 BE22 415 Extrapolation 0 24.458872 19.695912 29.221831
## 557 BE22 427 Extrapolation 0 24.511020 19.651592 29.370448
## 558 BE22 439 Extrapolation 0 24.559688 19.606023 29.513352
## 559 BE22 451 Extrapolation 0 24.605108 19.559434 29.650781
## 560 BE22 464 Extrapolation 0 24.650899 19.508044 29.793753
## 561 BE23 1 Rarefaction 0 1.000000 1.000000 1.000000
## 562 BE23 13 Rarefaction 0 7.303662 6.875400 7.731923
## 563 BE23 25 Rarefaction 0 10.396894 9.691651 11.102137
## 564 BE23 37 Rarefaction 0 12.413750 11.470259 13.357241
## 565 BE23 49 Rarefaction 0 13.902563 12.770699 15.034427
## 566 BE23 62 Rarefaction 0 15.168013 13.874448 16.461579
## 567 BE23 74 Rarefaction 0 16.118072 14.699523 17.536620
## 568 BE23 86 Rarefaction 0 16.910940 15.379877 18.442002
## 569 BE23 98 Rarefaction 0 17.578553 15.940040 19.217067
## 570 BE23 111 Rarefaction 0 18.187333 16.432351 19.942316
## 571 BE23 123 Rarefaction 0 18.663242 16.797319 20.529165
## 572 BE23 135 Rarefaction 0 19.072157 17.090184 21.054131
## 573 BE23 147 Rarefaction 0 19.426951 17.323033 21.530869
## 574 BE23 159 Rarefaction 0 19.738685 17.506792 21.970577
## 575 BE23 172 Rarefaction 0 20.038857 17.661809 22.415905
## 576 BE23 184 Rarefaction 0 20.290118 17.773511 22.806724
## 577 BE23 196 Rarefaction 0 20.523969 17.862902 23.185037
## 578 BE23 208 Rarefaction 0 20.746715 17.936617 23.556813
## 579 BE23 221 Rarefaction 0 20.981982 18.005470 23.958494
## 580 BE23 222 Observed 0 21.000000 18.010473 23.989527
## 581 BE23 223 Extrapolation 0 21.017964 18.015394 24.020534
## 582 BE23 234 Extrapolation 0 21.212036 18.064245 24.359827
## 583 BE23 246 Extrapolation 0 21.416544 18.107035 24.726053
## 584 BE23 257 Extrapolation 0 21.597627 18.137352 25.057901
## 585 BE23 269 Extrapolation 0 21.788447 18.161504 25.415390
## 586 BE23 281 Extrapolation 0 21.972493 18.177138 25.767849
## 587 BE23 292 Extrapolation 0 22.135458 18.184636 26.086279
## 588 BE23 304 Extrapolation 0 22.307185 18.186016 26.428355
## 589 BE23 316 Extrapolation 0 22.472817 18.180920 26.764714
## 590 BE23 327 Extrapolation 0 22.619476 18.171059 27.067892
## 591 BE23 339 Extrapolation 0 22.774021 18.155132 27.392911
## 592 BE23 350 Extrapolation 0 22.910864 18.136192 27.685536
## 593 BE23 362 Extrapolation 0 23.055065 18.111202 27.998929
## 594 BE23 374 Extrapolation 0 23.194148 18.082082 28.306214
## 595 BE23 385 Extrapolation 0 23.317299 18.052070 28.582527
## 596 BE23 397 Extrapolation 0 23.447072 18.016016 28.878129
## 597 BE23 409 Extrapolation 0 23.572239 17.976797 29.167681
## 598 BE23 420 Extrapolation 0 23.683068 17.938302 29.427834
## 599 BE23 432 Extrapolation 0 23.799857 17.893766 29.705947
## 600 BE23 444 Extrapolation 0 23.912500 17.846806 29.978193
## 601 BE24 1 Rarefaction 0 1.000000 1.000000 1.000000
## 602 BE24 18 Rarefaction 0 6.864988 6.286655 7.443321
## 603 BE24 35 Rarefaction 0 10.030663 9.147847 10.913480
## 604 BE24 52 Rarefaction 0 12.141490 11.027201 13.255779
## 605 BE24 69 Rarefaction 0 13.673474 12.377518 14.969430
## 606 BE24 87 Rarefaction 0 14.906927 13.462414 16.351441
## 607 BE24 104 Rarefaction 0 15.825390 14.272311 17.378468
## 608 BE24 121 Rarefaction 0 16.572932 14.932970 18.212894
## 609 BE24 138 Rarefaction 0 17.191822 15.478936 18.904707
## 610 BE24 156 Rarefaction 0 17.738221 15.956688 19.519754
## 611 BE24 173 Rarefaction 0 18.172099 16.329328 20.014869
## 612 BE24 190 Rarefaction 0 18.540800 16.637356 20.444244
## 613 BE24 207 Rarefaction 0 18.855179 16.889792 20.820566
## 614 BE24 224 Rarefaction 0 19.123735 17.093981 21.153489
## 615 BE24 242 Rarefaction 0 19.365698 17.264330 21.467065
## 616 BE24 259 Rarefaction 0 19.560013 17.387196 21.732831
## 617 BE24 276 Rarefaction 0 19.725817 17.477387 21.974246
## 618 BE24 293 Rarefaction 0 19.867040 17.538371 22.195709
## 619 BE24 311 Rarefaction 0 19.993590 17.574306 22.412873
## 620 BE24 312 Observed 0 20.000000 17.575497 22.424503
## 621 BE24 313 Extrapolation 0 20.006349 17.576621 22.436077
## 622 BE24 329 Extrapolation 0 20.100065 17.586172 22.613957
## 623 BE24 345 Extrapolation 0 20.180437 17.581303 22.779571
## 624 BE24 362 Extrapolation 0 20.253331 17.562515 22.944148
## 625 BE24 378 Extrapolation 0 20.311880 17.533879 23.089882
## 626 BE24 394 Extrapolation 0 20.362093 17.496232 23.227953
## 627 BE24 411 Extrapolation 0 20.407634 17.447927 23.367340
## 628 BE24 427 Extrapolation 0 20.444212 17.395947 23.492477
## 629 BE24 443 Extrapolation 0 20.475582 17.338754 23.612411
## 630 BE24 460 Extrapolation 0 20.504034 17.273330 23.734738
## 631 BE24 476 Extrapolation 0 20.526886 17.208234 23.845539
## 632 BE24 493 Extrapolation 0 20.547613 17.136138 23.959088
## 633 BE24 509 Extrapolation 0 20.564260 17.066163 24.062357
## 634 BE24 525 Extrapolation 0 20.578537 16.994668 24.162406
## 635 BE24 542 Extrapolation 0 20.591486 16.917539 24.265433
## 636 BE24 558 Extrapolation 0 20.601886 16.844250 24.359522
## 637 BE24 574 Extrapolation 0 20.610806 16.770619 24.450993
## 638 BE24 591 Extrapolation 0 20.618896 16.692316 24.545475
## 639 BE24 607 Extrapolation 0 20.625393 16.618799 24.631988
## 640 BE24 624 Extrapolation 0 20.631286 16.541099 24.721474
## 641 BE25 1 Rarefaction 0 1.000000 1.000000 1.000000
## 642 BE25 14 Rarefaction 0 8.523522 7.957836 9.089208
## 643 BE25 27 Rarefaction 0 12.536058 11.515259 13.556858
## 644 BE25 40 Rarefaction 0 15.249265 13.828680 16.669849
## 645 BE25 53 Rarefaction 0 17.287512 15.528149 19.046875
## 646 BE25 66 Rarefaction 0 18.925222 16.883466 20.966979
## 647 BE25 79 Rarefaction 0 20.299450 18.021854 22.577046
## 648 BE25 92 Rarefaction 0 21.486615 19.010114 23.963117
## 649 BE25 105 Rarefaction 0 22.533260 19.886616 25.179904
## 650 BE25 118 Rarefaction 0 23.469568 20.674773 26.264363
## 651 BE25 131 Rarefaction 0 24.315982 21.389373 27.242590
## 652 BE25 144 Rarefaction 0 25.086767 22.039919 28.133615
## 653 BE25 157 Rarefaction 0 25.792078 22.632532 28.951625
## 654 BE25 170 Rarefaction 0 26.439213 23.171104 29.707322
## 655 BE25 183 Rarefaction 0 27.033413 23.658026 30.408800
## 656 BE25 196 Rarefaction 0 27.578409 24.094669 31.062149
## 657 BE25 209 Rarefaction 0 28.076819 24.481721 31.671918
## 658 BE25 222 Rarefaction 0 28.530470 24.819440 32.241501
## 659 BE25 236 Rarefaction 0 28.970464 25.128005 32.812923
## 660 BE25 237 Observed 0 29.000000 25.147857 32.852143
## 661 BE25 238 Extrapolation 0 29.029288 25.167419 32.891157
## 662 BE25 250 Extrapolation 0 29.362122 25.380217 33.344027
## 663 BE25 262 Extrapolation 0 29.662902 25.554702 33.771102
## 664 BE25 275 Extrapolation 0 29.956147 25.704084 34.208210
## 665 BE25 287 Extrapolation 0 30.199717 25.808588 34.590847
## 666 BE25 300 Extrapolation 0 30.437187 25.889047 34.985326
## 667 BE25 312 Extrapolation 0 30.634429 25.935991 35.332868
## 668 BE25 324 Extrapolation 0 30.812676 25.959325 35.666027
## 669 BE25 337 Extrapolation 0 30.986458 25.960716 36.012199
## 670 BE25 349 Extrapolation 0 31.130801 25.942304 36.319298
## 671 BE25 362 Extrapolation 0 31.271529 25.903423 36.639635
## 672 BE25 374 Extrapolation 0 31.388418 25.852028 36.924808
## 673 BE25 387 Extrapolation 0 31.502379 25.781548 37.223210
## 674 BE25 399 Extrapolation 0 31.597035 25.704453 37.489618
## 675 BE25 411 Extrapolation 0 31.682576 25.617213 37.747938
## 676 BE25 424 Extrapolation 0 31.765973 25.512694 38.019252
## 677 BE25 436 Extrapolation 0 31.835243 25.408170 38.262317
## 678 BE25 449 Extrapolation 0 31.902778 25.287414 38.518143
## 679 BE25 461 Extrapolation 0 31.958873 25.169967 38.747780
## 680 BE25 474 Extrapolation 0 32.013563 25.037213 38.989912
## 681 BE26 1 Rarefaction 0 1.000000 1.000000 1.000000
## 682 BE26 17 Rarefaction 0 8.294868 7.645692 8.944043
## 683 BE26 34 Rarefaction 0 12.173887 11.154734 13.193040
## 684 BE26 51 Rarefaction 0 14.750614 13.465486 16.035743
## 685 BE26 68 Rarefaction 0 16.650578 15.140586 18.160571
## 686 BE26 85 Rarefaction 0 18.136338 16.427012 19.845664
## 687 BE26 102 Rarefaction 0 19.343970 17.456458 21.231482
## 688 BE26 118 Rarefaction 0 20.298432 18.260279 22.336585
## 689 BE26 135 Rarefaction 0 21.167953 18.985669 23.350238
## 690 BE26 152 Rarefaction 0 21.922608 19.610310 24.234905
## 691 BE26 169 Rarefaction 0 22.586843 20.156343 25.017342
## 692 BE26 186 Rarefaction 0 23.178150 20.639036 25.717265
## 693 BE26 203 Rarefaction 0 23.709207 21.068959 26.349456
## 694 BE26 219 Rarefaction 0 24.162274 21.431888 26.892661
## 695 BE26 236 Rarefaction 0 24.600383 21.777767 27.422998
## 696 BE26 253 Rarefaction 0 24.998639 22.085607 27.911671
## 697 BE26 270 Rarefaction 0 25.360463 22.356945 28.363981
## 698 BE26 287 Rarefaction 0 25.688233 22.592234 28.784231
## 699 BE26 304 Rarefaction 0 25.983607 22.791130 29.176083
## 700 BE26 305 Observed 0 26.000000 22.801679 29.198321
## 701 BE26 306 Extrapolation 0 26.016286 22.812100 29.220473
## 702 BE26 322 Extrapolation 0 26.262853 22.961726 29.563979
## 703 BE26 338 Extrapolation 0 26.484861 23.080722 29.889000
## 704 BE26 354 Extrapolation 0 26.684756 23.171690 30.197823
## 705 BE26 370 Extrapolation 0 26.864742 23.237366 30.492118
## 706 BE26 386 Extrapolation 0 27.026800 23.280420 30.773181
## 707 BE26 402 Extrapolation 0 27.172718 23.303363 31.042072
## 708 BE26 418 Extrapolation 0 27.304101 23.308515 31.299688
## 709 BE26 434 Extrapolation 0 27.422399 23.297985 31.546812
## 710 BE26 450 Extrapolation 0 27.528914 23.273684 31.784143
## 711 BE26 466 Extrapolation 0 27.624819 23.237330 32.012309
## 712 BE26 482 Extrapolation 0 27.711173 23.190463 32.231883
## 713 BE26 498 Extrapolation 0 27.788925 23.134460 32.443390
## 714 BE26 514 Extrapolation 0 27.858933 23.070549 32.647317
## 715 BE26 530 Extrapolation 0 27.921968 22.999827 32.844110
## 716 BE26 546 Extrapolation 0 27.978725 22.923266 33.034184
## 717 BE26 562 Extrapolation 0 28.029829 22.841733 33.217924
## 718 BE26 578 Extrapolation 0 28.075842 22.755997 33.395687
## 719 BE26 594 Extrapolation 0 28.117273 22.666740 33.567805
## 720 BE26 610 Extrapolation 0 28.154577 22.574567 33.734586
## 721 BE27 1 Rarefaction 0 1.000000 1.000000 1.000000
## 722 BE27 18 Rarefaction 0 10.875748 10.323295 11.428200
## 723 BE27 35 Rarefaction 0 15.893033 14.878000 16.908067
## 724 BE27 52 Rarefaction 0 19.289489 17.869904 20.709074
## 725 BE27 69 Rarefaction 0 21.893524 20.108727 23.678320
## 726 BE27 87 Rarefaction 0 24.154244 22.015232 26.293256
## 727 BE27 104 Rarefaction 0 25.985420 23.533503 28.437337
## 728 BE27 121 Rarefaction 0 27.606656 24.855754 30.357559
## 729 BE27 138 Rarefaction 0 29.066564 26.025583 32.107544
## 730 BE27 156 Rarefaction 0 30.470593 27.128452 33.812735
## 731 BE27 173 Rarefaction 0 31.684712 28.061567 35.307857
## 732 BE27 190 Rarefaction 0 32.805831 28.903709 36.707954
## 733 BE27 207 Rarefaction 0 33.846082 29.666240 38.025925
## 734 BE27 224 Rarefaction 0 34.815559 30.358739 39.272379
## 735 BE27 242 Rarefaction 0 35.774585 31.024809 40.524361
## 736 BE27 259 Rarefaction 0 36.624652 31.597961 41.651343
## 737 BE27 276 Rarefaction 0 37.427632 32.123129 42.732134
## 738 BE27 293 Rarefaction 0 38.189723 32.605648 43.773799
## 739 BE27 311 Rarefaction 0 38.958333 33.075089 44.841578
## 740 BE27 312 Observed 0 39.000000 33.100009 44.899991
## 741 BE27 313 Extrapolation 0 39.041564 33.124812 44.958315
## 742 BE27 329 Extrapolation 0 39.692809 33.505704 45.879915
## 743 BE27 345 Extrapolation 0 40.318816 33.856857 46.780775
## 744 BE27 362 Extrapolation 0 40.957387 34.197998 47.716776
## 745 BE27 378 Extrapolation 0 41.534385 34.489736 48.579034
## 746 BE27 394 Extrapolation 0 42.089022 34.753883 49.424161
## 747 BE27 411 Extrapolation 0 42.654791 35.005352 50.304230
## 748 BE27 427 Extrapolation 0 43.166006 35.215622 51.116391
## 749 BE27 443 Extrapolation 0 43.657410 35.401362 51.913458
## 750 BE27 460 Extrapolation 0 44.158677 35.573044 52.744309
## 751 BE27 476 Extrapolation 0 44.611610 35.711615 53.511605
## 752 BE27 493 Extrapolation 0 45.073633 35.835626 54.311641
## 753 BE27 509 Extrapolation 0 45.491107 35.931604 55.050611
## 754 BE27 525 Extrapolation 0 45.892402 36.008524 55.776281
## 755 BE27 542 Extrapolation 0 46.301752 36.070486 56.533018
## 756 BE27 558 Extrapolation 0 46.671630 36.111208 57.232053
## 757 BE27 574 Extrapolation 0 47.027174 36.135806 57.918542
## 758 BE27 591 Extrapolation 0 47.389854 36.145255 58.634454
## 759 BE27 607 Extrapolation 0 47.717564 36.139321 59.295807
## 760 BE27 624 Extrapolation 0 48.051851 36.118167 59.985534
## 761 BE28 1 Rarefaction 0 1.000000 1.000000 1.000000
## 762 BE28 15 Rarefaction 0 9.699114 9.188305 10.209922
## 763 BE28 30 Rarefaction 0 14.392769 13.451455 15.334083
## 764 BE28 45 Rarefaction 0 17.418904 16.197103 18.640706
## 765 BE28 59 Rarefaction 0 19.488162 18.060282 20.916041
## 766 BE28 74 Rarefaction 0 21.213806 19.589959 22.837652
## 767 BE28 89 Rarefaction 0 22.600171 20.793487 24.406855
## 768 BE28 104 Rarefaction 0 23.748697 21.768380 25.729015
## 769 BE28 118 Rarefaction 0 24.662033 22.526961 26.797106
## 770 BE28 133 Rarefaction 0 25.509951 23.216335 27.803567
## 771 BE28 148 Rarefaction 0 26.250541 23.805190 28.695892
## 772 BE28 162 Rarefaction 0 26.863022 24.281328 29.444715
## 773 BE28 177 Rarefaction 0 27.449458 24.726203 30.172712
## 774 BE28 192 Rarefaction 0 27.975553 25.114106 30.837000
## 775 BE28 207 Rarefaction 0 28.451234 25.453567 31.448900
## 776 BE28 221 Rarefaction 0 28.857092 25.732843 31.981342
## 777 BE28 236 Rarefaction 0 29.257896 25.997351 32.518441
## 778 BE28 251 Rarefaction 0 29.629571 26.230803 33.028340
## 779 BE28 266 Rarefaction 0 29.977528 26.437441 33.517616
## 780 BE28 267 Observed 0 30.000000 26.450354 33.549646
## 781 BE28 268 Extrapolation 0 30.022388 26.463165 33.581610
## 782 BE28 282 Extrapolation 0 30.327153 26.631872 34.022434
## 783 BE28 296 Extrapolation 0 30.616322 26.781289 34.451355
## 784 BE28 310 Extrapolation 0 30.890692 26.912373 34.869011
## 785 BE28 324 Extrapolation 0 31.151020 27.026185 35.275855
## 786 BE28 338 Extrapolation 0 31.398026 27.123842 35.672210
## 787 BE28 352 Extrapolation 0 31.632391 27.206470 36.058311
## 788 BE28 366 Extrapolation 0 31.854761 27.275183 36.434340
## 789 BE28 380 Extrapolation 0 32.065752 27.331054 36.800450
## 790 BE28 394 Extrapolation 0 32.265944 27.375109 37.156779
## 791 BE28 408 Extrapolation 0 32.455891 27.408318 37.503465
## 792 BE28 422 Extrapolation 0 32.636118 27.431589 37.840646
## 793 BE28 436 Extrapolation 0 32.807121 27.445772 38.168470
## 794 BE28 450 Extrapolation 0 32.969372 27.451653 38.487092
## 795 BE28 464 Extrapolation 0 33.123321 27.449963 38.796678
## 796 BE28 478 Extrapolation 0 33.269390 27.441378 39.097402
## 797 BE28 492 Extrapolation 0 33.407984 27.426521 39.389447
## 798 BE28 506 Extrapolation 0 33.539485 27.405965 39.673006
## 799 BE28 520 Extrapolation 0 33.664257 27.380240 39.948273
## 800 BE28 534 Extrapolation 0 33.782643 27.349833 40.215452
## 801 BE29 1 Rarefaction 0 1.000000 1.000000 1.000000
## 802 BE29 14 Rarefaction 0 8.453726 7.966159 8.941294
## 803 BE29 27 Rarefaction 0 12.155709 11.443111 12.868307
## 804 BE29 41 Rarefaction 0 14.623942 13.751564 15.496320
## 805 BE29 54 Rarefaction 0 16.162181 15.136076 17.188286
## 806 BE29 67 Rarefaction 0 17.277251 16.095606 18.458896
## 807 BE29 81 Rarefaction 0 18.184816 16.845026 19.524605
## 808 BE29 94 Rarefaction 0 18.848821 17.376203 20.321440
## 809 BE29 108 Rarefaction 0 19.431024 17.832023 21.030025
## 810 BE29 121 Rarefaction 0 19.880895 18.179541 21.582249
## 811 BE29 134 Rarefaction 0 20.263635 18.473203 22.054067
## 812 BE29 148 Rarefaction 0 20.616017 18.742917 22.489117
## 813 BE29 161 Rarefaction 0 20.897785 18.958705 22.836865
## 814 BE29 175 Rarefaction 0 21.160429 19.160189 23.160670
## 815 BE29 188 Rarefaction 0 21.371946 19.322509 23.421382
## 816 BE29 201 Rarefaction 0 21.556356 19.463436 23.649276
## 817 BE29 215 Rarefaction 0 21.728161 19.592893 23.863429
## 818 BE29 228 Rarefaction 0 21.865443 19.693111 24.037776
## 819 BE29 242 Rarefaction 0 21.991770 19.779696 24.203843
## 820 BE29 243 Observed 0 22.000000 19.785030 24.214970
## 821 BE29 244 Extrapolation 0 22.008130 19.790248 24.226011
## 822 BE29 256 Extrapolation 0 22.098259 19.844242 24.352277
## 823 BE29 269 Extrapolation 0 22.181976 19.886411 24.477541
## 824 BE29 282 Extrapolation 0 22.253303 19.913955 24.592651
## 825 BE29 294 Extrapolation 0 22.309737 19.928307 24.691168
## 826 BE29 307 Extrapolation 0 22.362156 19.933712 24.790600
## 827 BE29 320 Extrapolation 0 22.406817 19.930275 24.883359
## 828 BE29 333 Extrapolation 0 22.444868 19.919525 24.970212
## 829 BE29 345 Extrapolation 0 22.474974 19.904256 25.045692
## 830 BE29 358 Extrapolation 0 22.502938 19.882991 25.122886
## 831 BE29 371 Extrapolation 0 22.526764 19.857763 25.195765
## 832 BE29 384 Extrapolation 0 22.547063 19.829400 25.264726
## 833 BE29 396 Extrapolation 0 22.563124 19.801045 25.325202
## 834 BE29 409 Extrapolation 0 22.578042 19.768529 25.387554
## 835 BE29 422 Extrapolation 0 22.590752 19.734631 25.446873
## 836 BE29 435 Extrapolation 0 22.601581 19.699770 25.503393
## 837 BE29 447 Extrapolation 0 22.610149 19.667040 25.553258
## 838 BE29 460 Extrapolation 0 22.618108 19.631262 25.604953
## 839 BE29 473 Extrapolation 0 22.624888 19.595387 25.654390
## 840 BE29 486 Extrapolation 0 22.630665 19.559615 25.701715
## 841 BE3 1 Rarefaction 0 1.000000 1.000000 1.000000
## 842 BE3 17 Rarefaction 0 12.399461 11.984338 12.814583
## 843 BE3 33 Rarefaction 0 18.989242 18.113358 19.865125
## 844 BE3 49 Rarefaction 0 23.367750 22.126949 24.608550
## 845 BE3 65 Rarefaction 0 26.515115 24.970833 28.059397
## 846 BE3 82 Rarefaction 0 29.013965 27.190954 30.836975
## 847 BE3 98 Rarefaction 0 30.833874 28.779622 32.888125
## 848 BE3 114 Rarefaction 0 32.297183 30.036499 34.557868
## 849 BE3 130 Rarefaction 0 33.506064 31.059915 35.952214
## 850 BE3 147 Rarefaction 0 34.588193 31.964227 37.212160
## 851 BE3 163 Rarefaction 0 35.464880 32.688455 38.241306
## 852 BE3 179 Rarefaction 0 36.236232 33.318958 39.153506
## 853 BE3 195 Rarefaction 0 36.924028 33.875022 39.973033
## 854 BE3 211 Rarefaction 0 37.543707 34.369891 40.717523
## 855 BE3 228 Rarefaction 0 38.139947 34.838972 41.440921
## 856 BE3 244 Rarefaction 0 38.651286 35.234028 42.068545
## 857 BE3 260 Rarefaction 0 39.120701 35.588967 42.652435
## 858 BE3 276 Rarefaction 0 39.553061 35.907325 43.198798
## 859 BE3 293 Rarefaction 0 39.976190 36.208382 43.743999
## 860 BE3 294 Observed 0 40.000000 36.224947 43.775053
## 861 BE3 295 Extrapolation 0 40.023694 36.241387 43.806001
## 862 BE3 310 Extrapolation 0 40.365616 36.473233 44.257999
## 863 BE3 325 Extrapolation 0 40.683480 36.678163 44.688798
## 864 BE3 341 Extrapolation 0 40.997924 36.868411 45.127437
## 865 BE3 356 Extrapolation 0 41.271299 37.021538 45.521061
## 866 BE3 372 Extrapolation 0 41.541733 37.159506 45.923960
## 867 BE3 387 Extrapolation 0 41.776846 37.266533 46.287159
## 868 BE3 402 Extrapolation 0 41.995417 37.353399 46.637435
## 869 BE3 418 Extrapolation 0 42.211636 37.425407 46.997865
## 870 BE3 433 Extrapolation 0 42.399615 37.475002 47.324228
## 871 BE3 449 Extrapolation 0 42.585572 37.510325 47.660818
## 872 BE3 464 Extrapolation 0 42.747241 37.528304 47.966178
## 873 BE3 480 Extrapolation 0 42.907170 37.532726 48.281615
## 874 BE3 495 Extrapolation 0 43.046212 37.524243 48.568182
## 875 BE3 510 Extrapolation 0 43.175471 37.504631 48.846311
## 876 BE3 526 Extrapolation 0 43.303339 37.472572 49.134106
## 877 BE3 541 Extrapolation 0 43.414507 37.433054 49.395959
## 878 BE3 557 Extrapolation 0 43.524478 37.381799 49.667157
## 879 BE3 572 Extrapolation 0 43.620086 37.326054 49.914119
## 880 BE3 588 Extrapolation 0 43.714666 37.259229 50.170103
## 881 BE30 1 Rarefaction 0 1.000000 1.000000 1.000000
## 882 BE30 15 Rarefaction 0 8.070304 7.494485 8.646123
## 883 BE30 30 Rarefaction 0 11.723175 10.734817 12.711533
## 884 BE30 45 Rarefaction 0 14.106032 12.762534 15.449531
## 885 BE30 59 Rarefaction 0 15.756410 14.096546 17.416275
## 886 BE30 74 Rarefaction 0 17.183199 15.197501 19.168896
## 887 BE30 89 Rarefaction 0 18.399835 16.102958 20.696712
## 888 BE30 103 Rarefaction 0 19.415610 16.842239 21.988981
## 889 BE30 118 Rarefaction 0 20.417180 17.562378 23.271981
## 890 BE30 133 Rarefaction 0 21.353511 18.231713 24.475310
## 891 BE30 147 Rarefaction 0 22.181532 18.822351 25.540713
## 892 BE30 162 Rarefaction 0 23.027747 19.425380 26.630114
## 893 BE30 177 Rarefaction 0 23.836757 20.001131 27.672383
## 894 BE30 191 Rarefaction 0 24.561220 20.515421 28.607020
## 895 BE30 206 Rarefaction 0 25.306752 21.042403 29.571101
## 896 BE30 221 Rarefaction 0 26.022146 21.544741 30.499551
## 897 BE30 235 Rarefaction 0 26.663821 21.991390 31.336251
## 898 BE30 250 Rarefaction 0 27.324546 22.446173 32.202920
## 899 BE30 265 Rarefaction 0 27.958647 22.876432 33.040861
## 900 BE30 266 Observed 0 28.000000 22.904247 33.095753
## 901 BE30 267 Extrapolation 0 28.041240 22.931954 33.150526
## 902 BE30 280 Extrapolation 0 28.567203 23.282300 33.852106
## 903 BE30 294 Extrapolation 0 29.113055 23.639242 34.586869
## 904 BE30 308 Extrapolation 0 29.638360 23.975302 35.301419
## 905 BE30 322 Extrapolation 0 30.143891 24.290817 35.996966
## 906 BE30 336 Extrapolation 0 30.630393 24.586219 36.674567
## 907 BE30 350 Extrapolation 0 31.098582 24.862012 37.335151
## 908 BE30 364 Extrapolation 0 31.549146 25.118760 37.979533
## 909 BE30 378 Extrapolation 0 31.982751 25.357071 38.608430
## 910 BE30 392 Extrapolation 0 32.400033 25.577585 39.222481
## 911 BE30 406 Extrapolation 0 32.801608 25.780958 39.822257
## 912 BE30 420 Extrapolation 0 33.188066 25.967861 40.408271
## 913 BE30 434 Extrapolation 0 33.559977 26.138962 40.980993
## 914 BE30 448 Extrapolation 0 33.917889 26.294929 41.540849
## 915 BE30 462 Extrapolation 0 34.262327 26.436418 42.088237
## 916 BE30 476 Extrapolation 0 34.593801 26.564076 42.623525
## 917 BE30 490 Extrapolation 0 34.912796 26.678532 43.147061
## 918 BE30 504 Extrapolation 0 35.219784 26.780396 43.659172
## 919 BE30 518 Extrapolation 0 35.515216 26.870262 44.160170
## 920 BE30 532 Extrapolation 0 35.799528 26.948703 44.650352
## 921 BE4 1 Rarefaction 0 1.000000 1.000000 1.000000
## 922 BE4 23 Rarefaction 0 13.387594 12.894732 13.880456
## 923 BE4 46 Rarefaction 0 18.785704 17.953290 19.618117
## 924 BE4 69 Rarefaction 0 21.872317 20.772712 22.971923
## 925 BE4 92 Rarefaction 0 23.916708 22.570501 25.262914
## 926 BE4 115 Rarefaction 0 25.384883 23.808981 26.960784
## 927 BE4 138 Rarefaction 0 26.498154 24.709327 28.286980
## 928 BE4 161 Rarefaction 0 27.377436 25.391115 29.363757
## 929 BE4 184 Rarefaction 0 28.095194 25.924153 30.266236
## 930 BE4 207 Rarefaction 0 28.697752 26.351475 31.044030
## 931 BE4 230 Rarefaction 0 29.216086 26.700762 31.731409
## 932 BE4 253 Rarefaction 0 29.671586 26.990489 32.352684
## 933 BE4 276 Rarefaction 0 30.079407 27.233415 32.925399
## 934 BE4 299 Rarefaction 0 30.450540 27.438681 33.462398
## 935 BE4 322 Rarefaction 0 30.793173 27.613104 33.973242
## 936 BE4 345 Rarefaction 0 31.113604 27.761994 34.465215
## 937 BE4 368 Rarefaction 0 31.416859 27.889669 34.944048
## 938 BE4 391 Rarefaction 0 31.707107 27.999771 35.414444
## 939 BE4 414 Rarefaction 0 31.987952 28.095443 35.880461
## 940 BE4 415 Observed 0 32.000000 28.099319 35.900681
## 941 BE4 416 Extrapolation 0 32.012037 28.103180 35.920893
## 942 BE4 437 Extrapolation 0 32.262138 28.180824 36.343452
## 943 BE4 459 Extrapolation 0 32.518765 28.255262 36.782268
## 944 BE4 481 Extrapolation 0 32.769997 28.322841 37.217153
## 945 BE4 503 Extrapolation 0 33.015949 28.383773 37.648124
## 946 BE4 524 Extrapolation 0 33.245895 28.435934 38.055856
## 947 BE4 546 Extrapolation 0 33.481842 28.484513 38.479171
## 948 BE4 568 Extrapolation 0 33.712829 28.527113 38.898546
## 949 BE4 590 Extrapolation 0 33.938960 28.563969 39.313952
## 950 BE4 612 Extrapolation 0 34.160338 28.595318 39.725358
## 951 BE4 633 Extrapolation 0 34.367310 28.620323 40.114298
## 952 BE4 655 Extrapolation 0 34.579683 28.641591 40.517776
## 953 BE4 677 Extrapolation 0 34.787592 28.658042 40.917142
## 954 BE4 699 Extrapolation 0 34.991130 28.669902 41.312357
## 955 BE4 721 Extrapolation 0 35.190389 28.677391 41.703386
## 956 BE4 742 Extrapolation 0 35.376682 28.680659 42.072705
## 957 BE4 764 Extrapolation 0 35.567836 28.680214 42.455458
## 958 BE4 786 Extrapolation 0 35.754972 28.676009 42.833935
## 959 BE4 808 Extrapolation 0 35.938174 28.668235 43.208113
## 960 BE4 830 Extrapolation 0 36.117525 28.657077 43.577973
## 961 BE5 1 Rarefaction 0 1.000000 1.000000 1.000000
## 962 BE5 11 Rarefaction 0 4.931670 4.394423 5.468917
## 963 BE5 22 Rarefaction 0 7.721929 6.880713 8.563146
## 964 BE5 33 Rarefaction 0 9.731952 8.680065 10.783838
## 965 BE5 44 Rarefaction 0 11.206000 9.987889 12.424112
## 966 BE5 55 Rarefaction 0 12.308909 10.950747 13.667071
## 967 BE5 66 Rarefaction 0 13.152248 11.671066 14.633431
## 968 BE5 77 Rarefaction 0 13.812089 12.219347 15.404831
## 969 BE5 88 Rarefaction 0 14.340881 12.644652 16.037110
## 970 BE5 99 Rarefaction 0 14.775257 12.981692 16.568823
## 971 BE5 110 Rarefaction 0 15.141114 13.255308 17.026920
## 972 BE5 121 Rarefaction 0 15.456892 13.483299 17.430485
## 973 BE5 132 Rarefaction 0 15.735721 13.678293 17.793149
## 974 BE5 143 Rarefaction 0 15.986848 13.849033 18.124664
## 975 BE5 154 Rarefaction 0 16.216635 14.001310 18.431960
## 976 BE5 165 Rarefaction 0 16.429282 14.138669 18.719895
## 977 BE5 176 Rarefaction 0 16.627387 14.262948 18.991826
## 978 BE5 187 Rarefaction 0 16.812386 14.374708 19.250064
## 979 BE5 198 Rarefaction 0 16.984925 14.473593 19.496256
## 980 BE5 199 Observed 0 17.000000 14.481914 19.518086
## 981 BE5 200 Extrapolation 0 17.014975 14.490092 19.539857
## 982 BE5 210 Extrapolation 0 17.159320 14.564264 19.754376
## 983 BE5 220 Extrapolation 0 17.294296 14.625328 19.963263
## 984 BE5 231 Extrapolation 0 17.432672 14.678612 20.186731
## 985 BE5 241 Extrapolation 0 17.549904 14.715551 20.384257
## 986 BE5 252 Extrapolation 0 17.670089 14.744751 20.595427
## 987 BE5 262 Extrapolation 0 17.771910 14.761912 20.781908
## 988 BE5 272 Extrapolation 0 17.867121 14.771029 20.963214
## 989 BE5 283 Extrapolation 0 17.964731 14.772714 21.156748
## 990 BE5 293 Extrapolation 0 18.047426 14.767452 21.327400
## 991 BE5 304 Extrapolation 0 18.132205 14.755007 21.509402
## 992 BE5 314 Extrapolation 0 18.204029 14.738295 21.669763
## 993 BE5 325 Extrapolation 0 18.277662 14.714642 21.840682
## 994 BE5 335 Extrapolation 0 18.340044 14.688886 21.991203
## 995 BE5 345 Extrapolation 0 18.398377 14.659539 22.137216
## 996 BE5 356 Extrapolation 0 18.458180 14.623590 22.292769
## 997 BE5 366 Extrapolation 0 18.508844 14.587972 22.429716
## 998 BE5 377 Extrapolation 0 18.560785 14.545968 22.575602
## 999 BE5 387 Extrapolation 0 18.604789 14.505536 22.704042
## 1000 BE5 398 Extrapolation 0 18.649902 14.458923 22.840881
## 1001 BE6 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1002 BE6 12 Rarefaction 0 6.975703 6.352605 7.598801
## 1003 BE6 23 Rarefaction 0 10.431183 9.363564 11.498803
## 1004 BE6 35 Rarefaction 0 13.070098 11.598670 14.541527
## 1005 BE6 46 Rarefaction 0 14.898257 13.110637 16.685878
## 1006 BE6 58 Rarefaction 0 16.496117 14.405814 18.586419
## 1007 BE6 69 Rarefaction 0 17.717360 15.376857 20.057863
## 1008 BE6 81 Rarefaction 0 18.863366 16.270592 21.456139
## 1009 BE6 92 Rarefaction 0 19.787112 16.976631 22.597594
## 1010 BE6 104 Rarefaction 0 20.688741 17.651544 23.725937
## 1011 BE6 115 Rarefaction 0 21.437318 18.199898 24.674738
## 1012 BE6 126 Rarefaction 0 22.124425 18.692652 25.556197
## 1013 BE6 138 Rarefaction 0 22.814778 19.176703 26.452854
## 1014 BE6 149 Rarefaction 0 23.401033 19.578549 27.223518
## 1015 BE6 161 Rarefaction 0 23.996785 19.977905 28.015664
## 1016 BE6 172 Rarefaction 0 24.508027 20.313300 28.702753
## 1017 BE6 184 Rarefaction 0 25.032957 20.650774 29.415140
## 1018 BE6 195 Rarefaction 0 25.488356 20.938156 30.038555
## 1019 BE6 207 Rarefaction 0 25.961538 21.231915 30.691162
## 1020 BE6 208 Observed 0 26.000000 21.255595 30.744405
## 1021 BE6 209 Extrapolation 0 26.038323 21.279159 30.797486
## 1022 BE6 219 Extrapolation 0 26.414022 21.508498 31.319546
## 1023 BE6 230 Extrapolation 0 26.811897 21.747604 31.876190
## 1024 BE6 241 Extrapolation 0 27.194253 21.973099 32.415408
## 1025 BE6 252 Extrapolation 0 27.561697 22.185262 32.938132
## 1026 BE6 263 Extrapolation 0 27.914810 22.384451 33.445168
## 1027 BE6 274 Extrapolation 0 28.254150 22.571086 33.937214
## 1028 BE6 285 Extrapolation 0 28.580256 22.745633 34.414879
## 1029 BE6 296 Extrapolation 0 28.893643 22.908585 34.878701
## 1030 BE6 307 Extrapolation 0 29.194807 23.060455 35.329159
## 1031 BE6 317 Extrapolation 0 29.458387 23.189338 35.727437
## 1032 BE6 328 Extrapolation 0 29.737525 23.321488 36.153562
## 1033 BE6 339 Extrapolation 0 30.005776 23.444053 36.567499
## 1034 BE6 350 Extrapolation 0 30.263565 23.557531 36.969599
## 1035 BE6 361 Extrapolation 0 30.511299 23.662402 37.360196
## 1036 BE6 372 Extrapolation 0 30.749371 23.759132 37.739610
## 1037 BE6 383 Extrapolation 0 30.978158 23.848168 38.108148
## 1038 BE6 394 Extrapolation 0 31.198021 23.929935 38.466108
## 1039 BE6 405 Extrapolation 0 31.409310 24.004841 38.813779
## 1040 BE6 416 Extrapolation 0 31.612358 24.073273 39.151443
## 1041 BE7 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1042 BE7 30 Rarefaction 0 9.448944 8.796212 10.101677
## 1043 BE7 60 Rarefaction 0 13.036941 11.958472 14.115409
## 1044 BE7 90 Rarefaction 0 15.324703 13.895382 16.754025
## 1045 BE7 120 Rarefaction 0 17.052653 15.313918 18.791389
## 1046 BE7 150 Rarefaction 0 18.462129 16.435436 20.488822
## 1047 BE7 180 Rarefaction 0 19.662846 17.360638 21.965054
## 1048 BE7 210 Rarefaction 0 20.716161 18.146714 23.285609
## 1049 BE7 240 Rarefaction 0 21.660099 18.829889 24.490309
## 1050 BE7 270 Rarefaction 0 22.519277 19.434391 25.604163
## 1051 BE7 299 Rarefaction 0 23.284602 19.959729 26.609475
## 1052 BE7 329 Rarefaction 0 24.019588 20.453684 27.585492
## 1053 BE7 359 Rarefaction 0 24.704430 20.905758 28.503101
## 1054 BE7 389 Rarefaction 0 25.344558 21.322184 29.366932
## 1055 BE7 419 Rarefaction 0 25.943950 21.707514 30.180387
## 1056 BE7 449 Rarefaction 0 26.505614 22.065065 30.946162
## 1057 BE7 479 Rarefaction 0 27.031879 22.397222 31.666536
## 1058 BE7 509 Rarefaction 0 27.524583 22.705641 32.343525
## 1059 BE7 539 Rarefaction 0 27.985185 22.991400 32.978971
## 1060 BE7 540 Observed 0 28.000000 23.000543 32.999457
## 1061 BE7 541 Extrapolation 0 28.014781 23.009662 33.019899
## 1062 BE7 569 Extrapolation 0 28.415036 23.255173 33.574899
## 1063 BE7 597 Extrapolation 0 28.790155 23.482107 34.098203
## 1064 BE7 626 Extrapolation 0 29.153854 23.698159 34.609550
## 1065 BE7 654 Extrapolation 0 29.482575 23.889024 35.076125
## 1066 BE7 682 Extrapolation 0 29.790651 24.063068 35.518233
## 1067 BE7 711 Extrapolation 0 30.089348 24.226258 35.952439
## 1068 BE7 739 Extrapolation 0 30.359318 24.367997 36.350640
## 1069 BE7 767 Extrapolation 0 30.612334 24.494855 36.729813
## 1070 BE7 796 Extrapolation 0 30.857647 24.611264 37.104031
## 1071 BE7 824 Extrapolation 0 31.079367 24.709885 37.448849
## 1072 BE7 853 Extrapolation 0 31.294337 24.798485 37.790190
## 1073 BE7 881 Extrapolation 0 31.488633 24.871633 38.105632
## 1074 BE7 909 Extrapolation 0 31.670726 24.933263 38.408188
## 1075 BE7 938 Extrapolation 0 31.847276 24.985633 38.708918
## 1076 BE7 966 Extrapolation 0 32.006846 25.025773 38.987919
## 1077 BE7 994 Extrapolation 0 32.156394 25.056281 39.256508
## 1078 BE7 1023 Extrapolation 0 32.301391 25.078349 39.524432
## 1079 BE7 1051 Extrapolation 0 32.432442 25.091033 39.773850
## 1080 BE7 1080 Extrapolation 0 32.559503 25.095822 40.023185
## 1081 BE8 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1082 BE8 13 Rarefaction 0 7.833924 7.296306 8.371542
## 1083 BE8 25 Rarefaction 0 11.798526 10.918266 12.678786
## 1084 BE8 37 Rarefaction 0 14.514179 13.396281 15.632076
## 1085 BE8 49 Rarefaction 0 16.470219 15.178404 17.762035
## 1086 BE8 61 Rarefaction 0 17.932717 16.505421 19.360013
## 1087 BE8 73 Rarefaction 0 19.059251 17.521501 20.597001
## 1088 BE8 85 Rarefaction 0 19.948935 18.318990 21.578880
## 1089 BE8 97 Rarefaction 0 20.667021 18.959262 22.374780
## 1090 BE8 109 Rarefaction 0 21.257979 19.483840 23.032118
## 1091 BE8 121 Rarefaction 0 21.752904 19.920999 23.584808
## 1092 BE8 133 Rarefaction 0 22.173931 20.290005 24.057858
## 1093 BE8 145 Rarefaction 0 22.537003 20.603949 24.470058
## 1094 BE8 157 Rarefaction 0 22.853691 20.871734 24.835647
## 1095 BE8 169 Rarefaction 0 23.132453 21.099472 25.165435
## 1096 BE8 181 Rarefaction 0 23.379539 21.291479 25.467599
## 1097 BE8 193 Rarefaction 0 23.599636 21.450969 25.748302
## 1098 BE8 205 Rarefaction 0 23.796339 21.580491 26.012187
## 1099 BE8 218 Rarefaction 0 23.986301 21.689447 26.283156
## 1100 BE8 219 Observed 0 24.000000 21.696542 26.303458
## 1101 BE8 220 Extrapolation 0 24.013574 21.703461 26.323687
## 1102 BE8 231 Extrapolation 0 24.154987 21.768198 26.541775
## 1103 BE8 242 Extrapolation 0 24.282883 21.813073 26.752694
## 1104 BE8 254 Extrapolation 0 24.408507 21.841284 26.975730
## 1105 BE8 265 Extrapolation 0 24.512173 21.850023 27.174323
## 1106 BE8 277 Extrapolation 0 24.613997 21.843018 27.384977
## 1107 BE8 288 Extrapolation 0 24.698023 21.823263 27.572783
## 1108 BE8 300 Extrapolation 0 24.780556 21.789080 27.772033
## 1109 BE8 311 Extrapolation 0 24.848663 21.747713 27.949613
## 1110 BE8 323 Extrapolation 0 24.915560 21.693207 28.137913
## 1111 BE8 334 Extrapolation 0 24.970764 21.635882 28.305646
## 1112 BE8 346 Extrapolation 0 25.024987 21.566546 28.483428
## 1113 BE8 357 Extrapolation 0 25.069732 21.497715 28.641749
## 1114 BE8 369 Extrapolation 0 25.113682 21.417824 28.809541
## 1115 BE8 380 Extrapolation 0 25.149951 21.340924 28.958977
## 1116 BE8 392 Extrapolation 0 25.185574 21.253759 29.117389
## 1117 BE8 403 Extrapolation 0 25.214971 21.171420 29.258522
## 1118 BE8 415 Extrapolation 0 25.243846 21.079488 29.408203
## 1119 BE8 426 Extrapolation 0 25.267673 20.993715 29.541632
## 1120 BE8 438 Extrapolation 0 25.291078 20.898925 29.683230
## 1121 BE9 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1122 BE9 18 Rarefaction 0 11.347815 10.919819 11.775812
## 1123 BE9 35 Rarefaction 0 16.420869 15.510122 17.331617
## 1124 BE9 52 Rarefaction 0 19.580958 18.247242 20.914673
## 1125 BE9 69 Rarefaction 0 21.812284 20.130189 23.494378
## 1126 BE9 86 Rarefaction 0 23.518079 21.543683 25.492475
## 1127 BE9 103 Rarefaction 0 24.890987 22.662264 27.119710
## 1128 BE9 120 Rarefaction 0 26.034800 23.577673 28.491928
## 1129 BE9 137 Rarefaction 0 27.011773 24.345026 29.678520
## 1130 BE9 155 Rarefaction 0 27.909687 25.036869 30.782505
## 1131 BE9 172 Rarefaction 0 28.658911 25.603749 31.714073
## 1132 BE9 189 Rarefaction 0 29.333755 26.106225 32.561285
## 1133 BE9 206 Rarefaction 0 29.950244 26.558618 33.341870
## 1134 BE9 223 Rarefaction 0 30.520680 26.971520 34.069840
## 1135 BE9 240 Rarefaction 0 31.054533 27.352611 34.756455
## 1136 BE9 257 Rarefaction 0 31.559108 27.707329 35.410888
## 1137 BE9 274 Rarefaction 0 32.040079 28.039436 36.040722
## 1138 BE9 291 Rarefaction 0 32.501933 28.351513 36.652353
## 1139 BE9 309 Rarefaction 0 32.974194 28.662125 37.286262
## 1140 BE9 310 Observed 0 33.000000 28.678817 37.321183
## 1141 BE9 311 Extrapolation 0 33.025765 28.695450 37.356080
## 1142 BE9 327 Extrapolation 0 33.432386 28.953554 37.911217
## 1143 BE9 343 Extrapolation 0 33.828623 29.196518 38.460727
## 1144 BE9 359 Extrapolation 0 34.214741 29.424453 39.005029
## 1145 BE9 376 Extrapolation 0 34.614193 29.650497 39.577889
## 1146 BE9 392 Extrapolation 0 34.980249 29.848517 40.111982
## 1147 BE9 408 Extrapolation 0 35.336958 30.032806 40.641111
## 1148 BE9 424 Extrapolation 0 35.684557 30.203964 41.165150
## 1149 BE9 441 Extrapolation 0 36.044160 30.372148 41.716173
## 1150 BE9 457 Extrapolation 0 36.373700 30.518254 42.229145
## 1151 BE9 473 Extrapolation 0 36.694823 30.653205 42.736442
## 1152 BE9 489 Extrapolation 0 37.007746 30.777630 43.237862
## 1153 BE9 506 Extrapolation 0 37.331476 30.898977 43.763975
## 1154 BE9 522 Extrapolation 0 37.628140 31.003573 44.252708
## 1155 BE9 538 Extrapolation 0 37.917229 31.099404 44.735054
## 1156 BE9 554 Extrapolation 0 38.198935 31.186978 45.210892
## 1157 BE9 571 Extrapolation 0 38.490369 31.271512 45.709227
## 1158 BE9 587 Extrapolation 0 38.757439 31.343529 46.171349
## 1159 BE9 603 Extrapolation 0 39.017688 31.408652 46.626725
## 1160 BE9 620 Extrapolation 0 39.286925 31.470721 47.103129
## SC SC.LCL SC.UCL
## 1 0.39408233 0.32298895 0.46517571
## 2 0.81624211 0.78878903 0.84369519
## 3 0.89466850 0.87535986 0.91397714
## 4 0.92783458 0.91197149 0.94369767
## 5 0.94612194 0.93280378 0.95944011
## 6 0.95625438 0.94473123 0.96777753
## 7 0.96206318 0.95166350 0.97246286
## 8 0.96623309 0.95661071 0.97585546
## 9 0.96906748 0.95991197 0.97822298
## 10 0.97146996 0.96264107 0.98029885
## 11 0.97349012 0.96486509 0.98211514
## 12 0.97516349 0.96664153 0.98368545
## 13 0.97680512 0.96831181 0.98529843
## 14 0.97823491 0.96969921 0.98677062
## 15 0.97968357 0.97103604 0.98833111
## 16 0.98106612 0.97224604 0.98988621
## 17 0.98231255 0.97328298 0.99134211
## 18 0.98361695 0.97431588 0.99291801
## 19 0.98490566 0.97528668 0.99452464
## 20 0.98499094 0.97536456 0.99461732
## 21 0.98507574 0.97544199 0.99470948
## 22 0.98613547 0.97641078 0.99586016
## 23 0.98719272 0.97738441 0.99700104
## 24 0.98816936 0.97829577 0.99804294
## 25 0.98907151 0.97915216 0.99899087
## 26 0.98990488 0.97995907 0.99985069
## 27 0.99067469 0.98072083 1.00000000
## 28 0.99138580 0.98144106 1.00000000
## 29 0.99204269 0.98212281 1.00000000
## 30 0.99264948 0.98276876 1.00000000
## 31 0.99317142 0.98333863 1.00000000
## 32 0.99369214 0.98392210 1.00000000
## 33 0.99417315 0.98447614 1.00000000
## 34 0.99461749 0.98500258 1.00000000
## 35 0.99502793 0.98550307 1.00000000
## 36 0.99540708 0.98597918 1.00000000
## 37 0.99575732 0.98643234 1.00000000
## 38 0.99608085 0.98686390 1.00000000
## 39 0.99637971 0.98727512 1.00000000
## 40 0.99665578 0.98766719 1.00000000
## 41 0.11437151 0.09231304 0.13642997
## 42 0.71404958 0.68994617 0.73815299
## 43 0.83540700 0.81719532 0.85361868
## 44 0.89049748 0.87466494 0.90633002
## 45 0.91979580 0.90566026 0.93393135
## 46 0.93844882 0.92576713 0.95113052
## 47 0.95154502 0.94004319 0.96304686
## 48 0.96032455 0.94963597 0.97101313
## 49 0.96693307 0.95682825 0.97703788
## 50 0.97160537 0.96187243 0.98133831
## 51 0.97513590 0.96564035 0.98463145
## 52 0.97793683 0.96858175 0.98729190
## 53 0.97999182 0.97069347 0.98929016
## 54 0.98164233 0.97234219 0.99094248
## 55 0.98286542 0.97352011 0.99221072
## 56 0.98382524 0.97440309 0.99324739
## 57 0.98462189 0.97509292 0.99415086
## 58 0.98524932 0.97559523 0.99490342
## 59 0.98581560 0.97600613 0.99562507
## 60 0.98583798 0.97602204 0.99565391
## 61 0.98586031 0.97603793 0.99568270
## 62 0.98634292 0.97638455 0.99630130
## 63 0.98680906 0.97672790 0.99689023
## 64 0.98725929 0.97707029 0.99744829
## 65 0.98769415 0.97741282 0.99797548
## 66 0.98813292 0.97777145 0.99849438
## 67 0.98853796 0.97811490 0.99896102
## 68 0.98892918 0.97845842 0.99939993
## 69 0.98930704 0.97880156 0.99981253
## 70 0.98967201 0.97914379 1.00000000
## 71 0.99004026 0.97950006 1.00000000
## 72 0.99038020 0.97983886 1.00000000
## 73 0.99070854 0.98017527 1.00000000
## 74 0.99102567 0.98050885 1.00000000
## 75 0.99133198 0.98083923 1.00000000
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## 884 0.86776594 0.84044269 0.89508918
## 885 0.89591358 0.87048772 0.92133945
## 886 0.91348927 0.88980092 0.93717761
## 887 0.92418871 0.90198902 0.94638840
## 888 0.93076971 0.90974095 0.95179847
## 889 0.93575362 0.91574909 0.95575815
## 890 0.93949814 0.92029438 0.95870191
## 891 0.94233594 0.92369890 0.96097298
## 892 0.94495353 0.92675578 0.96315128
## 893 0.94729956 0.92939346 0.96520566
## 894 0.94932979 0.93158389 0.96707570
## 895 0.95138528 0.93371025 0.96906031
## 896 0.95334522 0.93565254 0.97103791
## 897 0.95510128 0.93732244 0.97288013
## 898 0.95691039 0.93897101 0.97484977
## 899 0.95864662 0.94047815 0.97681508
## 900 0.95875980 0.94057389 0.97694571
## 901 0.95887267 0.94066930 0.97707603
## 902 0.96031218 0.94188390 0.97874047
## 903 0.96180613 0.94314820 0.98046407
## 904 0.96324385 0.94437768 0.98211002
## 905 0.96462744 0.94557883 0.98367606
## 906 0.96595896 0.94675539 0.98516253
## 907 0.96724035 0.94790934 0.98657136
## 908 0.96847351 0.94904161 0.98790541
## 909 0.96966024 0.95015252 0.98916797
## 910 0.97080231 0.95124205 0.99036257
## 911 0.97190138 0.95231003 0.99149274
## 912 0.97295909 0.95335621 0.99256196
## 913 0.97397698 0.95438039 0.99357357
## 914 0.97495655 0.95538237 0.99453073
## 915 0.97589925 0.95636204 0.99543646
## 916 0.97680646 0.95731935 0.99629357
## 917 0.97767953 0.95825434 0.99710472
## 918 0.97851973 0.95916709 0.99787236
## 919 0.97932830 0.96005776 0.99859884
## 920 0.98010643 0.96092655 0.99928632
## 921 0.06215005 0.05479360 0.06950650
## 922 0.67668557 0.65574441 0.69762674
## 923 0.83245344 0.81560908 0.84929780
## 924 0.89425700 0.87883369 0.90968032
## 925 0.92632696 0.91216751 0.94048641
## 926 0.94533766 0.93238101 0.95829430
## 927 0.95755552 0.94562921 0.96948182
## 928 0.96584105 0.95469817 0.97698393
## 929 0.97167392 0.96106680 0.98228104
## 930 0.97589497 0.96561839 0.98617155
## 931 0.97901707 0.96891834 0.98911581
## 932 0.98136907 0.97134035 0.99139778
## 933 0.98316847 0.97313439 0.99320256
## 934 0.98456145 0.97446810 0.99465480
## 935 0.98564665 0.97545380 0.99583950
## 936 0.98649055 0.97616630 0.99681480
## 937 0.98713778 0.97665465 0.99762092
## 938 0.98761825 0.97694977 0.99828674
## 939 0.98795181 0.97706905 0.99883456
## 940 0.98796344 0.97708006 0.99884681
## 941 0.98797506 0.97709106 0.99885905
## 942 0.98821647 0.97731857 0.99911436
## 943 0.98846418 0.97755286 0.99937549
## 944 0.98870668 0.97778598 0.99962737
## 945 0.98894408 0.97801971 0.99986845
## 946 0.98916604 0.97824430 1.00000000
## 947 0.98939379 0.97848160 1.00000000
## 948 0.98961675 0.97872112 1.00000000
## 949 0.98983502 0.97896280 1.00000000
## 950 0.99004871 0.97920647 1.00000000
## 951 0.99024849 0.97944069 1.00000000
## 952 0.99045348 0.97968749 1.00000000
## 953 0.99065416 0.97993546 1.00000000
## 954 0.99085063 0.98018428 1.00000000
## 955 0.99104296 0.98043364 1.00000000
## 956 0.99122278 0.98067191 1.00000000
## 957 0.99140729 0.98092151 1.00000000
## 958 0.99158793 0.98117082 1.00000000
## 959 0.99176476 0.98141961 1.00000000
## 960 0.99193788 0.98166764 1.00000000
## 961 0.35175879 0.27851144 0.42500614
## 962 0.70561264 0.66927110 0.74195417
## 963 0.78940774 0.76188793 0.81692754
## 964 0.84680123 0.82301083 0.87059163
## 965 0.88639405 0.86520618 0.90758191
## 966 0.91396162 0.89475124 0.93317199
## 967 0.93336108 0.91568188 0.95104029
## 968 0.94715818 0.93074139 0.96357497
## 969 0.95706396 0.94174800 0.97237991
## 970 0.96423172 0.94988751 0.97857592
## 971 0.96945380 0.95594564 0.98296195
## 972 0.97328841 0.96046468 0.98611214
## 973 0.97613936 0.96383690 0.98844182
## 974 0.97830520 0.96635616 0.99025424
## 975 0.98000924 0.96824565 0.99177284
## 976 0.98141829 0.96967387 0.99316270
## 977 0.98265471 0.97076530 0.99454412
## 978 0.98380479 0.97160859 0.99600098
## 979 0.98492462 0.97226310 0.99758614
## 980 0.98502546 0.97234181 0.99770912
## 981 0.98512563 0.97242087 0.99783038
## 982 0.98609115 0.97323149 0.99895080
## 983 0.98699399 0.97406917 0.99991882
## 984 0.98791959 0.97500139 1.00000000
## 985 0.98870375 0.97584363 1.00000000
## 986 0.98950766 0.97675314 1.00000000
## 987 0.99018874 0.97755847 1.00000000
## 988 0.99082560 0.97833985 1.00000000
## 989 0.99147851 0.97916943 1.00000000
## 990 0.99203166 0.97989531 1.00000000
## 991 0.99259874 0.98066223 1.00000000
## 992 0.99307917 0.98133086 1.00000000
## 993 0.99357170 0.98203542 1.00000000
## 994 0.99398897 0.98264845 1.00000000
## 995 0.99437916 0.98323608 1.00000000
## 996 0.99477917 0.98385414 1.00000000
## 997 0.99511806 0.98439122 1.00000000
## 998 0.99546549 0.98495588 1.00000000
## 999 0.99575984 0.98544648 1.00000000
## 1000 0.99606159 0.98596228 1.00000000
## 1001 0.16285767 0.11874363 0.20697172
## 1002 0.62516048 0.57609376 0.67422719
## 1003 0.74446809 0.70242164 0.78651454
## 1004 0.81486415 0.77842094 0.85130736
## 1005 0.85340245 0.82081015 0.88599475
## 1006 0.88068497 0.85110766 0.91026228
## 1007 0.89790082 0.87028537 0.92551626
## 1008 0.91153339 0.88545922 0.93760756
## 1009 0.92098749 0.89595428 0.94602070
## 1010 0.92910660 0.90494008 0.95327311
## 1011 0.93515474 0.91161991 0.95868957
## 1012 0.94024272 0.91723836 0.96324707
## 1013 0.94496635 0.92246406 0.96746864
## 1014 0.94869526 0.92660170 0.97078881
## 1015 0.95221972 0.93052184 0.97391759
## 1016 0.95501693 0.93363116 0.97640270
## 1017 0.95764300 0.93652979 0.97875622
## 1018 0.95968731 0.93874624 0.98062838
## 1019 0.96153846 0.94068084 0.98239608
## 1020 0.96167731 0.94082141 0.98253321
## 1021 0.96181566 0.94096125 0.98267007
## 1022 0.96317198 0.94232598 0.98401797
## 1023 0.96460835 0.94377622 0.98544048
## 1024 0.96598870 0.94519224 0.98678515
## 1025 0.96731521 0.94658423 0.98804619
## 1026 0.96858998 0.94795655 0.98922342
## 1027 0.96981504 0.94931035 0.99031973
## 1028 0.97099232 0.95064510 0.99133953
## 1029 0.97212368 0.95195948 0.99228787
## 1030 0.97321091 0.95325193 0.99316989
## 1031 0.97416246 0.95440655 0.99391838
## 1032 0.97517018 0.95565295 0.99468741
## 1033 0.97613860 0.95687343 0.99540376
## 1034 0.97706924 0.95806705 0.99607143
## 1035 0.97796359 0.95923310 0.99669407
## 1036 0.97882306 0.96037112 0.99727499
## 1037 0.97964900 0.96148082 0.99781718
## 1038 0.98044273 0.96256208 0.99832338
## 1039 0.98120551 0.96361493 0.99879608
## 1040 0.98193853 0.96463951 0.99923755
## 1041 0.28952106 0.24863026 0.33041186
## 1042 0.83973690 0.82027295 0.85920086
## 1043 0.90966913 0.89471192 0.92462634
## 1044 0.93536280 0.92253064 0.94819497
## 1045 0.94870255 0.93684235 0.96056275
## 1046 0.95704294 0.94575437 0.96833151
## 1047 0.96277406 0.95186534 0.97368278
## 1048 0.96693917 0.95631299 0.97756535
## 1049 0.97010412 0.95972828 0.98047996
## 1050 0.97261278 0.96249363 0.98273193
## 1051 0.97461947 0.96476902 0.98446993
## 1052 0.97639921 0.96684797 0.98595045
## 1053 0.97796738 0.96872868 0.98720607
## 1054 0.97938288 0.97045827 0.98830749
## 1055 0.98068457 0.97206321 0.98930592
## 1056 0.98189892 0.97355849 0.99023934
## 1057 0.98304484 0.97495298 0.99113671
## 1058 0.98413657 0.97625220 0.99202095
## 1059 0.98518519 0.97745958 0.99291080
## 1060 0.98521946 0.97749822 0.99294071
## 1061 0.98525366 0.97753672 0.99297060
## 1062 0.98617975 0.97856063 0.99379887
## 1063 0.98704768 0.97949256 0.99460280
## 1064 0.98788919 0.98037732 0.99540105
## 1065 0.98864976 0.98116634 0.99613318
## 1066 0.98936257 0.98190076 0.99682438
## 1067 0.99005368 0.98261160 0.99749576
## 1068 0.99067832 0.98325569 0.99810095
## 1069 0.99126373 0.98386283 0.99866464
## 1070 0.99183133 0.98445653 0.99920612
## 1071 0.99234433 0.98499887 0.99968979
## 1072 0.99284172 0.98553120 1.00000000
## 1073 0.99329126 0.98601893 1.00000000
## 1074 0.99371258 0.98648265 1.00000000
## 1075 0.99412107 0.98693927 1.00000000
## 1076 0.99449028 0.98735872 1.00000000
## 1077 0.99483629 0.98775836 1.00000000
## 1078 0.99517178 0.98815259 1.00000000
## 1079 0.99547500 0.98851530 1.00000000
## 1080 0.99576898 0.98887343 1.00000000
## 1081 0.13857819 0.10517213 0.17198425
## 1082 0.60221049 0.56460914 0.63981183
## 1083 0.73498328 0.70688407 0.76308250
## 1084 0.81267267 0.78958180 0.83576354
## 1085 0.86197634 0.84153968 0.88241301
## 1086 0.89495366 0.87637448 0.91353285
## 1087 0.91789044 0.90091415 0.93486673
## 1088 0.93433024 0.91873648 0.94992400
## 1089 0.94640010 0.93187657 0.96092363
## 1090 0.95544358 0.94161815 0.96926901
## 1091 0.96234671 0.94886106 0.97583236
## 1092 0.96771483 0.95428264 0.98114702
## 1093 0.97197212 0.95840074 0.98554350
## 1094 0.97541997 0.96160144 0.98923851
## 1095 0.97827310 0.96416063 0.99238556
## 1096 0.98068353 0.96626594 0.99510112
## 1097 0.98275793 0.96803722 0.99747865
## 1098 0.98457089 0.96954391 0.99959788
## 1099 0.98630137 0.97091557 1.00000000
## 1100 0.98642590 0.97102106 1.00000000
## 1101 0.98654930 0.97112636 1.00000000
## 1102 0.98783487 0.97227297 1.00000000
## 1103 0.98899757 0.97339721 1.00000000
## 1104 0.99013960 0.97458870 1.00000000
## 1105 0.99108202 0.97563966 1.00000000
## 1106 0.99200769 0.97673395 1.00000000
## 1107 0.99277157 0.97768567 1.00000000
## 1108 0.99352187 0.97866649 1.00000000
## 1109 0.99414102 0.97951334 1.00000000
## 1110 0.99474918 0.98038184 1.00000000
## 1111 0.99525103 0.98112937 1.00000000
## 1112 0.99574397 0.98189466 1.00000000
## 1113 0.99615074 0.98255287 1.00000000
## 1114 0.99655029 0.98322676 1.00000000
## 1115 0.99688000 0.98380676 1.00000000
## 1116 0.99720385 0.98440128 1.00000000
## 1117 0.99747110 0.98491376 1.00000000
## 1118 0.99773359 0.98544007 1.00000000
## 1119 0.99795021 0.98589473 1.00000000
## 1120 0.99816297 0.98636276 1.00000000
## 1121 0.06994467 0.06039422 0.07949512
## 1122 0.61280361 0.58080716 0.64480005
## 1123 0.77559181 0.74552529 0.80565833
## 1124 0.84858102 0.82329745 0.87386460
## 1125 0.88763736 0.86602442 0.90925031
## 1126 0.91132824 0.89211370 0.93054279
## 1127 0.92712485 0.90950487 0.94474482
## 1128 0.93838891 0.92191772 0.95486009
## 1129 0.94677884 0.93119647 0.96236120
## 1130 0.95352031 0.93868720 0.96835342
## 1131 0.95842169 0.94414790 0.97269548
## 1132 0.96225639 0.94840554 0.97610725
## 1133 0.96527460 0.95170887 0.97884033
## 1134 0.96766469 0.95424447 0.98108490
## 1135 0.96957087 0.95615851 0.98298324
## 1136 0.97110286 0.95756732 0.98463841
## 1137 0.97234201 0.95856222 0.98612181
## 1138 0.97334585 0.95921158 0.98748013
## 1139 0.97419355 0.95957383 0.98881327
## 1140 0.97423524 0.95958754 0.98888294
## 1141 0.97427686 0.95960141 0.98895231
## 1142 0.97493376 0.95984807 0.99001945
## 1143 0.97557389 0.96014353 0.99100425
## 1144 0.97619766 0.96048679 0.99190854
## 1145 0.97684298 0.96089908 0.99278688
## 1146 0.97743435 0.96132599 0.99354271
## 1147 0.97801062 0.96178452 0.99423671
## 1148 0.97857217 0.96226900 0.99487533
## 1149 0.97915311 0.96280635 0.99549987
## 1150 0.97968548 0.96332849 0.99604247
## 1151 0.98020426 0.96386243 0.99654609
## 1152 0.98070979 0.96440470 0.99701488
## 1153 0.98123278 0.96498670 0.99747885
## 1154 0.98171204 0.96553735 0.99788673
## 1155 0.98217907 0.96608865 0.99826948
## 1156 0.98263416 0.96663889 0.99862944
## 1157 0.98310498 0.96722071 0.99898925
## 1158 0.98353643 0.96776444 0.99930843
## 1159 0.98395687 0.96830340 0.99961033
## 1160 0.98439182 0.96886995 0.99991369
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 BE10 0.39408454 1 Rarefaction 0 1.000005 0.9031678
## 2 BE10 0.81624219 15 Rarefaction 0 5.138523 3.9686237
## 3 BE10 0.89466844 30 Rarefaction 0 7.261202 5.8972526
## 4 BE10 0.92783460 44 Rarefaction 0 8.493793 6.9705004
## 5 BE10 0.94612196 59 Rarefaction 0 9.433918 7.7427156
## 6 BE10 0.95625439 74 Rarefaction 0 10.164353 8.3049653
## 7 BE10 0.96206318 88 Rarefaction 0 10.736163 8.7213203
## 8 BE10 0.96623309 103 Rarefaction 0 11.274110 9.0936112
## 9 BE10 0.96906748 117 Rarefaction 0 11.727560 9.3890864
## 10 BE10 0.97146996 132 Rarefaction 0 12.174118 9.6489333
## 11 BE10 0.97349012 147 Rarefaction 0 12.587567 9.8255280
## 12 BE10 0.97516349 161 Rarefaction 0 12.947639 9.9029798
## 13 BE10 0.97680512 176 Rarefaction 0 13.308532 9.9304998
## 14 BE10 0.97823491 190 Rarefaction 0 13.623868 9.8717014
## 15 BE10 0.97968357 205 Rarefaction 0 13.940110 9.8397777
## 16 BE10 0.98106612 220 Rarefaction 0 14.235107 9.7933723
## 17 BE10 0.98231255 234 Rarefaction 0 14.492039 9.7069832
## 18 BE10 0.98361695 249 Rarefaction 0 14.748190 9.6001425
## 19 BE10 0.98490566 263 Rarefaction 0 14.973973 9.4452736
## 20 BE10 0.98499094 265 Observed 0 15.000000 9.4452099
## 21 BE10 0.98507574 266 Extrapolation 0 15.015009 9.4348318
## 22 BE10 0.98613547 279 Extrapolation 0 15.202582 9.3013067
## 23 BE10 0.98719272 293 Extrapolation 0 15.389716 9.1634083
## 24 BE10 0.98816936 307 Extrapolation 0 15.562580 9.0377696
## 25 BE10 0.98907151 321 Extrapolation 0 15.722262 8.9351742
## 26 BE10 0.98990488 335 Extrapolation 0 15.869767 8.8177101
## 27 BE10 0.99067469 349 Extrapolation 0 16.006024 8.7053920
## 28 BE10 0.99138580 363 Extrapolation 0 16.131891 8.5992158
## 29 BE10 0.99204269 377 Extrapolation 0 16.248159 8.4994167
## 30 BE10 0.99264948 391 Extrapolation 0 16.355562 8.4061521
## 31 BE10 0.99317142 404 Extrapolation 0 16.447945 8.3243535
## 32 BE10 0.99369214 418 Extrapolation 0 16.540113 8.2409340
## 33 BE10 0.99417315 432 Extrapolation 0 16.625252 8.1623474
## 34 BE10 0.99461749 446 Extrapolation 0 16.703899 8.0885083
## 35 BE10 0.99502793 460 Extrapolation 0 16.776548 8.0192828
## 36 BE10 0.99540708 474 Extrapolation 0 16.843658 7.9544987
## 37 BE10 0.99575732 488 Extrapolation 0 16.905650 7.8939653
## 38 BE10 0.99608085 502 Extrapolation 0 16.962915 7.8374766
## 39 BE10 0.99637971 516 Extrapolation 0 17.015813 7.7848311
## 40 BE10 0.99665578 530 Extrapolation 0 17.064677 7.7358457
## 41 BE11 0.11437155 1 Rarefaction 0 1.000000 0.8823900
## 42 BE11 0.71404943 24 Rarefaction 0 12.039820 10.6583945
## 43 BE11 0.83540696 47 Rarefaction 0 17.059839 15.2814440
## 44 BE11 0.89049749 71 Rarefaction 0 20.301219 18.1713144
## 45 BE11 0.91979579 94 Rarefaction 0 22.469925 20.0184456
## 46 BE11 0.93844882 117 Rarefaction 0 24.094760 21.3400625
## 47 BE11 0.95154503 141 Rarefaction 0 25.411433 22.3526808
## 48 BE11 0.96032454 164 Rarefaction 0 26.423741 23.0543177
## 49 BE11 0.96693307 188 Rarefaction 0 27.295731 23.5227557
## 50 BE11 0.97160537 211 Rarefaction 0 28.002310 23.5392778
## 51 BE11 0.97513590 234 Rarefaction 0 28.614707 22.5315052
## 52 BE11 0.97793683 258 Rarefaction 0 29.177696 21.5067269
## 53 BE11 0.97999182 281 Rarefaction 0 29.661528 20.5734757
## 54 BE11 0.98164234 305 Rarefaction 0 30.121871 19.7569026
## 55 BE11 0.98286542 328 Rarefaction 0 30.530064 19.1398471
## 56 BE11 0.98382524 351 Rarefaction 0 30.913169 18.6853077
## 57 BE11 0.98462189 375 Rarefaction 0 31.291853 18.3503573
## 58 BE11 0.98524932 398 Rarefaction 0 31.638444 18.1268862
## 59 BE11 0.98581560 421 Rarefaction 0 31.975202 17.9458397
## 60 BE11 0.98583798 423 Observed 0 32.000000 17.9501903
## 61 BE11 0.98586031 424 Extrapolation 0 32.014162 17.9440509
## 62 BE11 0.98634292 446 Extrapolation 0 32.320137 17.8055972
## 63 BE11 0.98680906 468 Extrapolation 0 32.615669 17.6681365
## 64 BE11 0.98725929 490 Extrapolation 0 32.901113 17.5326090
## 65 BE11 0.98769415 512 Extrapolation 0 33.176815 17.3998053
## 66 BE11 0.98813292 535 Extrapolation 0 33.454993 17.2650091
## 67 BE11 0.98853796 557 Extrapolation 0 33.711790 17.1406719
## 68 BE11 0.98892918 579 Extrapolation 0 33.959822 17.0182595
## 69 BE11 0.98930704 601 Extrapolation 0 34.199389 16.8981540
## 70 BE11 0.98967201 623 Extrapolation 0 34.430778 16.7806721
## 71 BE11 0.99004026 646 Extrapolation 0 34.664246 16.6609940
## 72 BE11 0.99038020 668 Extrapolation 0 34.879769 16.5499081
## 73 BE11 0.99070854 690 Extrapolation 0 35.087936 16.4424434
## 74 BE11 0.99102567 712 Extrapolation 0 35.288999 16.3377619
## 75 BE11 0.99133198 734 Extrapolation 0 35.483198 16.2357646
## 76 BE11 0.99164104 757 Extrapolation 0 35.679142 16.1320443
## 77 BE11 0.99192634 779 Extrapolation 0 35.860025 16.0356426
## 78 BE11 0.99220191 801 Extrapolation 0 36.034734 15.9419927
## 79 BE11 0.99246807 823 Extrapolation 0 36.203481 15.8510885
## 80 BE11 0.99273662 846 Extrapolation 0 36.373742 15.7589694
## 81 BE12 0.11947921 1 Rarefaction 0 1.000000 0.9069654
## 82 BE12 0.63117812 12 Rarefaction 0 7.345013 6.3167236
## 83 BE12 0.77676623 24 Rarefaction 0 10.836122 9.4411007
## 84 BE12 0.83948693 35 Rarefaction 0 12.944977 11.3998944
## 85 BE12 0.87978515 47 Rarefaction 0 14.630595 13.0284613
## 86 BE12 0.90448130 58 Rarefaction 0 15.821996 14.2009723
## 87 BE12 0.92414757 70 Rarefaction 0 16.854248 15.2052289
## 88 BE12 0.93794572 81 Rarefaction 0 17.616638 15.9127123
## 89 BE12 0.94978665 93 Rarefaction 0 18.293312 16.4931755
## 90 BE12 0.95842030 104 Rarefaction 0 18.800802 16.8892387
## 91 BE12 0.96594846 116 Rarefaction 0 19.256609 17.2155080
## 92 BE12 0.97145820 127 Rarefaction 0 19.602545 17.4473910
## 93 BE12 0.97625071 139 Rarefaction 0 19.917558 17.6524491
## 94 BE12 0.97974725 150 Rarefaction 0 20.160627 17.8096165
## 95 BE12 0.98279641 162 Rarefaction 0 20.386195 17.9078010
## 96 BE12 0.98505792 173 Rarefaction 0 20.563733 17.9760071
## 97 BE12 0.98711297 185 Rarefaction 0 20.731389 18.0218301
## 98 BE12 0.98875698 196 Rarefaction 0 20.864776 18.0354456
## 99 BE12 0.99043062 208 Rarefaction 0 20.989324 18.0343132
## 100 BE12 0.99056668 209 Observed 0 21.000000 18.0336269
## 101 BE12 0.99070080 210 Extrapolation 0 21.009433 18.0312017
## 102 BE12 0.99194150 220 Extrapolation 0 21.096696 18.0006613
## 103 BE12 0.99311595 231 Extrapolation 0 21.179299 17.9605573
## 104 BE12 0.99411924 242 Extrapolation 0 21.249863 17.9183126
## 105 BE12 0.99497630 253 Extrapolation 0 21.310144 17.8769618
## 106 BE12 0.99570846 264 Extrapolation 0 21.361639 17.8385788
## 107 BE12 0.99633391 275 Extrapolation 0 21.405629 17.8033525
## 108 BE12 0.99686821 286 Extrapolation 0 21.443208 17.7715367
## 109 BE12 0.99732464 297 Extrapolation 0 21.475310 17.7431370
## 110 BE12 0.99771455 308 Extrapolation 0 21.502734 17.7180061
## 111 BE12 0.99804763 319 Extrapolation 0 21.526160 17.6959149
## 112 BE12 0.99833217 330 Extrapolation 0 21.546173 17.6765928
## 113 BE12 0.99857524 341 Extrapolation 0 21.563269 17.6597655
## 114 BE12 0.99878289 352 Extrapolation 0 21.577873 17.6451527
## 115 BE12 0.99896027 363 Extrapolation 0 21.590349 17.6325018
## 116 BE12 0.99911180 374 Extrapolation 0 21.601007 17.6215703
## 117 BE12 0.99924125 385 Extrapolation 0 21.610111 17.6121411
## 118 BE12 0.99935183 396 Extrapolation 0 21.617889 17.6040211
## 119 BE12 0.99944629 407 Extrapolation 0 21.624533 17.5970399
## 120 BE12 0.99952699 418 Extrapolation 0 21.630209 17.5910358
## 121 BE13 0.05300481 1 Rarefaction 0 1.000000 0.9483836
## 122 BE13 0.58115955 19 Rarefaction 0 12.630229 11.1601643
## 123 BE13 0.75773941 37 Rarefaction 0 18.418020 16.1718876
## 124 BE13 0.83515803 56 Rarefaction 0 22.229057 19.3216052
## 125 BE13 0.87190830 74 Rarefaction 0 24.851476 21.4408457
## 126 BE13 0.89330283 92 Rarefaction 0 26.959730 23.1317266
## 127 BE13 0.90762563 111 Rarefaction 0 28.848596 24.6419131
## 128 BE13 0.91701137 129 Rarefaction 0 30.427140 25.9021181
## 129 BE13 0.92445702 148 Rarefaction 0 31.933920 27.1001527
## 130 BE13 0.93012965 166 Rarefaction 0 33.243929 28.1280838
## 131 BE13 0.93495832 184 Rarefaction 0 34.459532 29.0546742
## 132 BE13 0.93943469 203 Rarefaction 0 35.654193 29.9178881
## 133 BE13 0.94324420 221 Rarefaction 0 36.711439 30.6180007
## 134 BE13 0.94690765 240 Rarefaction 0 37.756304 31.2136762
## 135 BE13 0.95009556 258 Rarefaction 0 38.684491 31.6053952
## 136 BE13 0.95304544 276 Rarefaction 0 39.557362 31.8549771
## 137 BE13 0.95593050 295 Rarefaction 0 40.423183 32.0368003
## 138 BE13 0.95846878 313 Rarefaction 0 41.194587 32.1618374
## 139 BE13 0.96096096 332 Rarefaction 0 41.946537 32.2449795
## 140 BE13 0.96108718 333 Observed 0 42.000000 32.2619960
## 141 BE13 0.96121300 334 Extrapolation 0 42.038913 32.2661377
## 142 BE13 0.96329068 351 Extrapolation 0 42.681509 32.3257155
## 143 BE13 0.96525706 368 Extrapolation 0 43.289684 32.3676425
## 144 BE13 0.96722443 386 Extrapolation 0 43.898162 32.3948612
## 145 BE13 0.96898010 403 Extrapolation 0 44.441165 32.4082723
## 146 BE13 0.97073664 421 Extrapolation 0 44.984440 32.4141326
## 147 BE13 0.97230417 438 Extrapolation 0 45.469255 32.4164664
## 148 BE13 0.97387249 456 Extrapolation 0 45.954312 32.4237099
## 149 BE13 0.97527204 473 Extrapolation 0 46.387175 32.4226732
## 150 BE13 0.97667230 491 Extrapolation 0 46.820254 32.4132625
## 151 BE13 0.97792188 508 Extrapolation 0 47.206731 32.3981553
## 152 BE13 0.97917208 526 Extrapolation 0 47.593401 32.3771668
## 153 BE13 0.98028776 543 Extrapolation 0 47.938464 32.3535815
## 154 BE13 0.98140399 561 Extrapolation 0 48.283699 32.3256186
## 155 BE13 0.98240011 578 Extrapolation 0 48.591784 32.2972476
## 156 BE13 0.98339673 596 Extrapolation 0 48.900024 32.2658151
## 157 BE13 0.98428611 613 Extrapolation 0 49.175096 32.2353331
## 158 BE13 0.98517593 631 Extrapolation 0 49.450305 32.2026672
## 159 BE13 0.98597000 648 Extrapolation 0 49.695900 32.1717780
## 160 BE13 0.98676447 666 Extrapolation 0 49.941617 32.1393120
## 161 BE14 0.05725589 1 Rarefaction 0 1.000000 0.9395490
## 162 BE14 0.57652840 20 Rarefaction 0 13.090894 11.3631765
## 163 BE14 0.74386538 40 Rarefaction 0 19.715455 17.2021997
## 164 BE14 0.81844953 60 Rarefaction 0 24.044830 20.9956212
## 165 BE14 0.85726202 79 Rarefaction 0 27.113811 23.6252978
## 166 BE14 0.88286082 99 Rarefaction 0 29.707402 25.7847534
## 167 BE14 0.90032026 119 Rarefaction 0 31.874375 27.5424006
## 168 BE14 0.91248101 138 Rarefaction 0 33.653498 28.9606576
## 169 BE14 0.92225218 158 Rarefaction 0 35.306795 30.2632060
## 170 BE14 0.92985846 178 Rarefaction 0 36.786474 31.4151237
## 171 BE14 0.93563297 197 Rarefaction 0 38.065288 32.3978323
## 172 BE14 0.94058411 217 Rarefaction 0 39.303941 33.3376967
## 173 BE14 0.94467832 237 Rarefaction 0 40.452149 34.1988915
## 174 BE14 0.94798360 256 Rarefaction 0 41.472750 34.9555847
## 175 BE14 0.95101639 276 Rarefaction 0 42.483623 35.6917796
## 176 BE14 0.95372344 296 Rarefaction 0 43.437130 36.3562995
## 177 BE14 0.95608650 315 Rarefaction 0 44.294855 36.8739089
## 178 BE14 0.95842760 335 Rarefaction 0 45.150687 37.3033343
## 179 BE14 0.96067416 354 Rarefaction 0 45.937157 37.6184477
## 180 BE14 0.96078462 356 Observed 0 46.000000 37.6530504
## 181 BE14 0.96089478 357 Extrapolation 0 46.039215 37.6673564
## 182 BE14 0.96282550 375 Extrapolation 0 46.726552 37.9092114
## 183 BE14 0.96476016 394 Extrapolation 0 47.415292 38.1356316
## 184 BE14 0.96659414 413 Extrapolation 0 48.068189 38.2447967
## 185 BE14 0.96824347 431 Extrapolation 0 48.655350 38.2661815
## 186 BE14 0.96989617 450 Extrapolation 0 49.243710 38.2294006
## 187 BE14 0.97146286 469 Extrapolation 0 49.801451 38.1304179
## 188 BE14 0.97287180 487 Extrapolation 0 50.303037 37.9943234
## 189 BE14 0.97428363 506 Extrapolation 0 50.805647 37.8199100
## 190 BE14 0.97562198 525 Extrapolation 0 51.282100 37.6246193
## 191 BE14 0.97682558 543 Extrapolation 0 51.710582 37.4253595
## 192 BE14 0.97803164 562 Extrapolation 0 52.139940 37.2059516
## 193 BE14 0.97917494 581 Extrapolation 0 52.546952 36.9820228
## 194 BE14 0.98020312 599 Extrapolation 0 52.912986 36.7688907
## 195 BE14 0.98123341 618 Extrapolation 0 53.279767 36.5452758
## 196 BE14 0.98221007 637 Extrapolation 0 53.627460 36.3248012
## 197 BE14 0.98308841 655 Extrapolation 0 53.940146 36.1201365
## 198 BE14 0.98396853 674 Extrapolation 0 54.253471 35.9093960
## 199 BE14 0.98480285 693 Extrapolation 0 54.550490 35.7050581
## 200 BE14 0.98559375 712 Extrapolation 0 54.832051 35.5075253
## 201 BE15 0.03682863 1 Rarefaction 0 1.000007 0.9724311
## 202 BE15 0.27403269 9 Rarefaction 0 7.814114 6.6215236
## 203 BE15 0.45201084 18 Rarefaction 0 13.581024 11.6705788
## 204 BE15 0.55989945 26 Rarefaction 0 17.562950 15.1985374
## 205 BE15 0.64541235 35 Rarefaction 0 21.159341 18.3906163
## 206 BE15 0.70633001 44 Rarefaction 0 24.092473 20.9842003
## 207 BE15 0.74681802 52 Rarefaction 0 26.293255 22.9116474
## 208 BE15 0.78188506 61 Rarefaction 0 28.424767 24.7495438
## 209 BE15 0.80642382 69 Rarefaction 0 30.080358 26.1473577
## 210 BE15 0.82864400 78 Rarefaction 0 31.730039 27.5034321
## 211 BE15 0.84663366 87 Rarefaction 0 33.197592 28.6664318
## 212 BE15 0.85993315 95 Rarefaction 0 34.376520 29.5610609
## 213 BE15 0.87255116 104 Rarefaction 0 35.585025 30.4322832
## 214 BE15 0.88211068 112 Rarefaction 0 36.570247 31.1032728
## 215 BE15 0.89137544 121 Rarefaction 0 37.593140 31.7526954
## 216 BE15 0.89936200 130 Rarefaction 0 38.537966 32.2580926
## 217 BE15 0.90558182 138 Rarefaction 0 39.320806 32.5670643
## 218 BE15 0.91175739 147 Rarefaction 0 40.145276 32.8195469
## 219 BE15 0.91719745 156 Rarefaction 0 40.889723 33.0063066
## 220 BE15 0.91776515 157 Observed 0 41.000000 33.0538839
## 221 BE15 0.91832895 158 Extrapolation 0 41.082235 33.0755309
## 222 BE15 0.92270243 166 Extrapolation 0 41.720138 33.2335285
## 223 BE15 0.92684171 174 Extrapolation 0 42.323882 33.3713420
## 224 BE15 0.93075933 182 Extrapolation 0 42.895295 33.4967714
## 225 BE15 0.93446717 190 Extrapolation 0 43.436109 33.6082659
## 226 BE15 0.93840168 199 Extrapolation 0 44.009986 33.7171545
## 227 BE15 0.94170027 207 Extrapolation 0 44.491108 33.7958572
## 228 BE15 0.94482222 215 Extrapolation 0 44.946466 33.8601052
## 229 BE15 0.94777698 223 Extrapolation 0 45.377440 33.9126139
## 230 BE15 0.95057352 231 Extrapolation 0 45.785336 33.9555433
## 231 BE15 0.95354103 240 Extrapolation 0 46.218168 33.9946375
## 232 BE15 0.95602890 248 Extrapolation 0 46.581042 34.0200474
## 233 BE15 0.95838355 256 Extrapolation 0 46.924485 34.0455298
## 234 BE15 0.96061211 264 Extrapolation 0 47.249536 34.0638371
## 235 BE15 0.96272133 272 Extrapolation 0 47.557180 34.0785145
## 236 BE15 0.96495950 281 Extrapolation 0 47.883633 34.0914784
## 237 BE15 0.96683592 289 Extrapolation 0 48.157322 34.1004148
## 238 BE15 0.96861185 297 Extrapolation 0 48.416355 34.1020265
## 239 BE15 0.97029268 305 Extrapolation 0 48.661516 34.1128684
## 240 BE15 0.97207628 314 Extrapolation 0 48.921666 34.1175692
## 241 BE16 0.13215078 1 Rarefaction 0 1.000000 0.9030628
## 242 BE16 0.72643580 20 Rarefaction 0 9.838873 8.4292857
## 243 BE16 0.83848640 39 Rarefaction 0 13.870647 12.2470512
## 244 BE16 0.89160832 58 Rarefaction 0 16.410253 14.6329700
## 245 BE16 0.92214177 77 Rarefaction 0 18.170956 16.2460817
## 246 BE16 0.94216733 97 Rarefaction 0 19.523011 17.4401830
## 247 BE16 0.95478907 116 Rarefaction 0 20.500838 18.2706051
## 248 BE16 0.96365661 135 Rarefaction 0 21.275370 18.8983871
## 249 BE16 0.97009659 154 Rarefaction 0 21.904830 19.3771108
## 250 BE16 0.97511101 174 Rarefaction 0 22.452784 19.7619769
## 251 BE16 0.97870991 193 Rarefaction 0 22.891794 20.0284267
## 252 BE16 0.98150301 212 Rarefaction 0 23.270094 20.0479954
## 253 BE16 0.98371261 231 Rarefaction 0 23.600869 19.9302706
## 254 BE16 0.98549713 250 Rarefaction 0 23.893699 19.7745779
## 255 BE16 0.98704331 270 Rarefaction 0 24.168590 19.5847512
## 256 BE16 0.98828703 289 Rarefaction 0 24.403287 19.4252534
## 257 BE16 0.98938008 308 Rarefaction 0 24.615804 19.2816805
## 258 BE16 0.99037797 327 Rarefaction 0 24.808491 19.1382660
## 259 BE16 0.99137931 346 Rarefaction 0 24.985996 18.9902447
## 260 BE16 0.99142871 348 Observed 0 25.000000 18.9890035
## 261 BE16 0.99147783 349 Extrapolation 0 25.008571 18.9813585
## 262 BE16 0.99231537 367 Extrapolation 0 25.154722 18.8469785
## 263 BE16 0.99307060 385 Extrapolation 0 25.286509 18.7192078
## 264 BE16 0.99375160 403 Extrapolation 0 25.405344 18.6010496
## 265 BE16 0.99439797 422 Extrapolation 0 25.518135 18.4967650
## 266 BE16 0.99494852 440 Extrapolation 0 25.614207 18.3932894
## 267 BE16 0.99544497 458 Extrapolation 0 25.700837 18.2973256
## 268 BE16 0.99589263 476 Extrapolation 0 25.778953 18.2087646
## 269 BE16 0.99631751 495 Extrapolation 0 25.853096 18.1230480
## 270 BE16 0.99667942 513 Extrapolation 0 25.916248 18.0488993
## 271 BE16 0.99700576 531 Extrapolation 0 25.973195 17.9813921
## 272 BE16 0.99730003 549 Extrapolation 0 26.024544 17.9203937
## 273 BE16 0.99757932 568 Extrapolation 0 26.073282 17.8619882
## 274 BE16 0.99781722 586 Extrapolation 0 26.114795 17.8118042
## 275 BE16 0.99803174 604 Extrapolation 0 26.152228 17.7662197
## 276 BE16 0.99822518 622 Extrapolation 0 26.185983 17.7248529
## 277 BE16 0.99840877 641 Extrapolation 0 26.218021 17.6853664
## 278 BE16 0.99856516 659 Extrapolation 0 26.245309 17.6515652
## 279 BE16 0.99870617 677 Extrapolation 0 26.269916 17.6209564
## 280 BE16 0.99884001 696 Extrapolation 0 26.293271 17.5917932
## 281 BE17 0.05198763 1 Rarefaction 0 1.000003 0.9455658
## 282 BE17 0.43753991 12 Rarefaction 0 9.239211 7.7614879
## 283 BE17 0.63897372 24 Rarefaction 0 14.739254 12.6412984
## 284 BE17 0.73718204 35 Rarefaction 0 18.171697 15.8358519
## 285 BE17 0.80193865 47 Rarefaction 0 20.939539 18.5296231
## 286 BE17 0.84173095 58 Rarefaction 0 22.907155 20.5091199
## 287 BE17 0.87343389 70 Rarefaction 0 24.622760 22.2591494
## 288 BE17 0.89585196 81 Rarefaction 0 25.898287 23.5521532
## 289 BE17 0.91544934 93 Rarefaction 0 27.036051 24.6764106
## 290 BE17 0.93016542 104 Rarefaction 0 27.890091 25.4896264
## 291 BE17 0.94351930 116 Rarefaction 0 28.652185 26.1839899
## 292 BE17 0.95379193 127 Rarefaction 0 29.220579 26.6694597
## 293 BE17 0.96326121 139 Rarefaction 0 29.721365 27.0450191
## 294 BE17 0.97062394 150 Rarefaction 0 30.087637 27.2294190
## 295 BE17 0.97745851 162 Rarefaction 0 30.401421 27.2949950
## 296 BE17 0.98279493 173 Rarefaction 0 30.621954 27.1847798
## 297 BE17 0.98775628 185 Rarefaction 0 30.800303 26.9273468
## 298 BE17 0.99162707 196 Rarefaction 0 30.915086 26.6021131
## 299 BE17 0.99521531 208 Rarefaction 0 30.992962 26.1986477
## 300 BE17 0.99547629 209 Observed 0 31.000000 26.1686005
## 301 BE17 0.99572304 210 Extrapolation 0 31.004524 26.1378173
## 302 BE17 0.99755915 220 Extrapolation 0 31.038186 25.9005422
## 303 BE17 0.99868299 231 Extrapolation 0 31.058789 25.7497552
## 304 BE17 0.99928938 242 Extrapolation 0 31.069907 25.6667954
## 305 BE17 0.99961657 253 Extrapolation 0 31.075905 25.6215912
## 306 BE17 0.99979311 264 Extrapolation 0 31.079142 25.5970695
## 307 BE17 0.99988837 275 Extrapolation 0 31.080888 25.5838084
## 308 BE17 0.99993977 286 Extrapolation 0 31.081830 25.5766379
## 309 BE17 0.99996750 297 Extrapolation 0 31.082339 25.5727662
## 310 BE17 0.99998246 308 Extrapolation 0 31.082613 25.5706764
## 311 BE17 0.99999054 319 Extrapolation 0 31.082761 25.5695485
## 312 BE17 0.99999489 330 Extrapolation 0 31.082841 25.5689399
## 313 BE17 0.99999725 341 Extrapolation 0 31.082884 25.5686115
## 314 BE17 0.99999851 352 Extrapolation 0 31.082907 25.5684343
## 315 BE17 0.99999920 363 Extrapolation 0 31.082920 25.5683387
## 316 BE17 0.99999957 374 Extrapolation 0 31.082927 25.5682871
## 317 BE17 0.99999977 385 Extrapolation 0 31.082930 25.5682593
## 318 BE17 0.99999987 396 Extrapolation 0 31.082932 25.5682443
## 319 BE17 0.99999993 407 Extrapolation 0 31.082933 25.5682361
## 320 BE17 0.99999996 418 Extrapolation 0 31.082934 25.5682318
## 321 BE18 0.09209837 1 Rarefaction 0 1.000015 0.8899833
## 322 BE18 0.62912716 21 Rarefaction 0 12.112883 10.1601691
## 323 BE18 0.75093743 41 Rarefaction 0 18.210636 15.3547628
## 324 BE18 0.81475664 62 Rarefaction 0 22.736554 19.0641549
## 325 BE18 0.85078840 82 Rarefaction 0 26.072385 21.6559056
## 326 BE18 0.87581477 103 Rarefaction 0 28.939057 23.7613734
## 327 BE18 0.89282127 123 Rarefaction 0 31.252804 25.3907514
## 328 BE18 0.90629084 144 Rarefaction 0 33.362582 26.8367178
## 329 BE18 0.91631973 164 Rarefaction 0 35.137729 28.0160673
## 330 BE18 0.92476065 185 Rarefaction 0 36.807404 29.0698927
## 331 BE18 0.93130597 205 Rarefaction 0 38.247900 29.9036225
## 332 BE18 0.93671757 225 Rarefaction 0 39.568693 30.5698605
## 333 BE18 0.94142393 246 Rarefaction 0 40.848993 31.1606669
## 334 BE18 0.94514889 266 Rarefaction 0 41.984017 31.6352897
## 335 BE18 0.94840708 287 Rarefaction 0 43.102250 31.5854843
## 336 BE18 0.95099661 307 Rarefaction 0 44.108755 31.1358736
## 337 BE18 0.95327517 328 Rarefaction 0 45.114333 30.6057248
## 338 BE18 0.95510772 348 Rarefaction 0 46.030936 30.1730670
## 339 BE18 0.95675676 368 Rarefaction 0 46.916623 29.7856519
## 340 BE18 0.95682988 370 Observed 0 47.000000 29.8121408
## 341 BE18 0.95690287 371 Extrapolation 0 47.043170 29.7978085
## 342 BE18 0.95826659 390 Extrapolation 0 47.849673 29.5208902
## 343 BE18 0.95958716 409 Extrapolation 0 48.630655 29.2381733
## 344 BE18 0.96093211 429 Extrapolation 0 49.426060 28.9354258
## 345 BE18 0.96216833 448 Extrapolation 0 50.157161 28.6388112
## 346 BE18 0.96342738 468 Extrapolation 0 50.901762 28.3280935
## 347 BE18 0.96458464 487 Extrapolation 0 51.586168 28.0318878
## 348 BE18 0.96570529 506 Extrapolation 0 52.248917 27.7375505
## 349 BE18 0.96684662 526 Extrapolation 0 52.923905 27.4271990
## 350 BE18 0.96789569 545 Extrapolation 0 53.544324 27.1334723
## 351 BE18 0.96896413 565 Extrapolation 0 54.176200 26.8256628
## 352 BE18 0.96994620 584 Extrapolation 0 54.756993 26.5355837
## 353 BE18 0.97094640 604 Extrapolation 0 55.348510 26.2336840
## 354 BE18 0.97186574 623 Extrapolation 0 55.892208 25.9503612
## 355 BE18 0.97275599 642 Extrapolation 0 56.418702 25.6710344
## 356 BE18 0.97366268 662 Extrapolation 0 56.954917 25.3818774
## 357 BE18 0.97449607 681 Extrapolation 0 57.447784 25.1122652
## 358 BE18 0.97534484 701 Extrapolation 0 57.949751 24.8341693
## 359 BE18 0.97612500 720 Extrapolation 0 58.411138 24.5756505
## 360 BE18 0.97691957 740 Extrapolation 0 58.881045 24.3097016
## 361 BE19 0.09812942 1 Rarefaction 0 1.000000 0.8942424
## 362 BE19 0.62136876 20 Rarefaction 0 11.653126 10.0672496
## 363 BE19 0.74983982 39 Rarefaction 0 17.536347 15.4875888
## 364 BE19 0.81750925 58 Rarefaction 0 21.624555 19.2802660
## 365 BE19 0.86006567 77 Rarefaction 0 24.681594 22.1411891
## 366 BE19 0.88943495 96 Rarefaction 0 27.060481 24.3749326
## 367 BE19 0.91096565 115 Rarefaction 0 28.957736 26.1532168
## 368 BE19 0.92743996 134 Rarefaction 0 30.494613 27.5848936
## 369 BE19 0.94042403 153 Rarefaction 0 31.751758 28.7386521
## 370 BE19 0.95085691 172 Rarefaction 0 32.786321 29.6573763
## 371 BE19 0.95933684 191 Rarefaction 0 33.640997 30.3679576
## 372 BE19 0.96626662 210 Rarefaction 0 34.349033 30.8730471
## 373 BE19 0.97193074 229 Rarefaction 0 34.937175 31.1091043
## 374 BE19 0.97653842 248 Rarefaction 0 35.427492 31.1752082
## 375 BE19 0.98024928 267 Rarefaction 0 35.838556 31.1340176
## 376 BE19 0.98318961 286 Rarefaction 0 36.186226 30.9661825
## 377 BE19 0.98546317 305 Rarefaction 0 36.484182 30.7951050
## 378 BE19 0.98715871 324 Rarefaction 0 36.744274 30.6934226
## 379 BE19 0.98840580 343 Rarefaction 0 36.979470 30.6204284
## 380 BE19 0.98845613 345 Observed 0 37.000000 30.6268308
## 381 BE19 0.98850625 346 Extrapolation 0 37.011544 30.6263541
## 382 BE19 0.98937207 364 Extrapolation 0 37.210970 30.5949862
## 383 BE19 0.99017267 382 Extrapolation 0 37.395374 30.5535655
## 384 BE19 0.99091295 400 Extrapolation 0 37.565887 30.5065944
## 385 BE19 0.99159747 418 Extrapolation 0 37.723556 30.4563904
## 386 BE19 0.99223043 436 Extrapolation 0 37.869347 30.4047010
## 387 BE19 0.99281571 454 Extrapolation 0 38.004156 30.3527404
## 388 BE19 0.99335690 472 Extrapolation 0 38.128809 30.3013687
## 389 BE19 0.99385732 490 Extrapolation 0 38.244073 30.2511963
## 390 BE19 0.99432004 508 Extrapolation 0 38.350654 30.2026473
## 391 BE19 0.99477071 527 Extrapolation 0 38.454458 30.1535039
## 392 BE19 0.99516463 545 Extrapolation 0 38.545191 30.1091271
## 393 BE19 0.99552888 563 Extrapolation 0 38.629089 30.0669654
## 394 BE19 0.99586569 581 Extrapolation 0 38.706667 30.0270537
## 395 BE19 0.99617712 599 Extrapolation 0 38.778401 29.9893863
## 396 BE19 0.99646510 617 Extrapolation 0 38.844731 29.9539254
## 397 BE19 0.99673138 635 Extrapolation 0 38.906065 29.9206131
## 398 BE19 0.99697760 653 Extrapolation 0 38.962778 29.8893759
## 399 BE19 0.99720528 671 Extrapolation 0 39.015219 29.8601351
## 400 BE19 0.99742702 690 Extrapolation 0 39.066295 29.8313512
## 401 BE2 0.07262649 1 Rarefaction 0 1.000008 0.9588853
## 402 BE2 0.74343162 25 Rarefaction 0 13.023071 11.8764543
## 403 BE2 0.86969842 49 Rarefaction 0 17.407398 15.6457311
## 404 BE2 0.91170859 73 Rarefaction 0 19.980528 17.8229748
## 405 BE2 0.93241015 97 Rarefaction 0 21.838221 19.4215401
## 406 BE2 0.94505087 121 Rarefaction 0 23.304229 20.6962518
## 407 BE2 0.95360086 145 Rarefaction 0 24.518635 21.7491567
## 408 BE2 0.95975632 169 Rarefaction 0 25.557722 22.6430920
## 409 BE2 0.96440804 193 Rarefaction 0 26.467684 23.4199615
## 410 BE2 0.96807227 217 Rarefaction 0 27.278151 24.1050092
## 411 BE2 0.97106761 241 Rarefaction 0 28.008871 24.7122171
## 412 BE2 0.97360130 265 Rarefaction 0 28.673350 25.2473698
## 413 BE2 0.97581399 289 Rarefaction 0 29.280941 25.7069017
## 414 BE2 0.97780377 313 Rarefaction 0 29.838156 26.0725543
## 415 BE2 0.97963947 337 Rarefaction 0 30.349502 26.2295426
## 416 BE2 0.98136873 361 Rarefaction 0 30.818091 26.1023547
## 417 BE2 0.98302314 385 Rarefaction 0 31.246090 25.8559671
## 418 BE2 0.98462199 409 Rarefaction 0 31.635050 25.4750329
## 419 BE2 0.98617512 432 Rarefaction 0 31.975039 24.9971573
## 420 BE2 0.98623868 434 Observed 0 32.000000 24.9871929
## 421 BE2 0.98630195 435 Extrapolation 0 32.013761 24.9663474
## 422 BE2 0.98762262 457 Extrapolation 0 32.301007 24.5151462
## 423 BE2 0.98886738 480 Extrapolation 0 32.571742 24.0747922
## 424 BE2 0.98998695 503 Extrapolation 0 32.815250 23.6639105
## 425 BE2 0.99099394 526 Extrapolation 0 33.034269 23.2813679
## 426 BE2 0.99186224 548 Extrapolation 0 33.223124 22.9412728
## 427 BE2 0.99268063 571 Extrapolation 0 33.401124 22.6116007
## 428 BE2 0.99341672 594 Extrapolation 0 33.561224 22.3083173
## 429 BE2 0.99407878 617 Extrapolation 0 33.705222 22.0313131
## 430 BE2 0.99467426 640 Extrapolation 0 33.834739 21.7793789
## 431 BE2 0.99518773 662 Extrapolation 0 33.946419 21.5604147
## 432 BE2 0.99567169 685 Extrapolation 0 34.051680 21.3528144
## 433 BE2 0.99610697 708 Extrapolation 0 34.146354 21.1648460
## 434 BE2 0.99649848 731 Extrapolation 0 34.231508 20.9948492
## 435 BE2 0.99685062 754 Extrapolation 0 34.308098 20.8413119
## 436 BE2 0.99715426 776 Extrapolation 0 34.374140 20.7085774
## 437 BE2 0.99744045 799 Extrapolation 0 34.436386 20.5834666
## 438 BE2 0.99769786 822 Extrapolation 0 34.492372 20.4732493
## 439 BE2 0.99792938 845 Extrapolation 0 34.542727 20.3695198
## 440 BE2 0.99813761 868 Extrapolation 0 34.588019 20.2759998
## 441 BE20 0.24777798 1 Rarefaction 0 1.000000 0.8117814
## 442 BE20 0.63765407 9 Rarefaction 0 4.998873 3.1288108
## 443 BE20 0.72908010 17 Rarefaction 0 7.549565 5.0664054
## 444 BE20 0.78904434 25 Rarefaction 0 9.491691 6.4683967
## 445 BE20 0.83031142 33 Rarefaction 0 11.025321 7.4682096
## 446 BE20 0.85976895 41 Rarefaction 0 12.273574 8.1524386
## 447 BE20 0.88382201 50 Rarefaction 0 13.433703 8.4189224
## 448 BE20 0.89977722 58 Rarefaction 0 14.304538 6.7803230
## 449 BE20 0.91214270 66 Rarefaction 0 15.061033 4.0457348
## 450 BE20 0.92183727 74 Rarefaction 0 15.728438 1.2431224
## 451 BE20 0.92947966 82 Rarefaction 0 16.325806 0.0000000
## 452 BE20 0.93550847 90 Rarefaction 0 16.867927 0.0000000
## 453 BE20 0.94076516 99 Rarefaction 0 17.426260 0.0000000
## 454 BE20 0.94435685 107 Rarefaction 0 17.886973 0.0000000
## 455 BE20 0.94713630 115 Rarefaction 0 18.321914 0.0000000
## 456 BE20 0.94926245 123 Rarefaction 0 18.737001 0.0000000
## 457 BE20 0.95086636 131 Rarefaction 0 19.136982 0.0000000
## 458 BE20 0.95205760 139 Rarefaction 0 19.525644 0.0000000
## 459 BE20 0.95302013 148 Rarefaction 0 19.931441 0.0000000
## 460 BE20 0.95311065 149 Observed 0 20.000000 0.0000000
## 461 BE20 0.95320100 150 Extrapolation 0 20.046889 0.0000000
## 462 BE20 0.95382856 157 Extrapolation 0 20.372595 0.0000000
## 463 BE20 0.95453548 165 Extrapolation 0 20.739485 0.0000000
## 464 BE20 0.95523157 173 Extrapolation 0 21.100758 0.0000000
## 465 BE20 0.95591701 181 Extrapolation 0 21.456499 0.0000000
## 466 BE20 0.95650815 188 Extrapolation 0 21.763302 0.0000000
## 467 BE20 0.95717404 196 Extrapolation 0 22.108900 0.0000000
## 468 BE20 0.95782974 204 Extrapolation 0 22.449206 0.0000000
## 469 BE20 0.95847540 212 Extrapolation 0 22.784301 0.0000000
## 470 BE20 0.95911117 220 Extrapolation 0 23.114267 0.0000000
## 471 BE20 0.95965948 227 Extrapolation 0 23.398839 0.0000000
## 472 BE20 0.96027712 235 Extrapolation 0 23.719395 0.0000000
## 473 BE20 0.96088530 243 Extrapolation 0 24.035044 0.0000000
## 474 BE20 0.96148418 251 Extrapolation 0 24.345859 0.0000000
## 475 BE20 0.96207388 259 Extrapolation 0 24.651916 0.0000000
## 476 BE20 0.96258246 266 Extrapolation 0 24.915869 0.0000000
## 477 BE20 0.96315535 274 Extrapolation 0 25.213198 0.0000000
## 478 BE20 0.96371947 282 Extrapolation 0 25.505975 0.0000000
## 479 BE20 0.96427495 290 Extrapolation 0 25.794270 0.0000000
## 480 BE20 0.96482193 298 Extrapolation 0 26.078150 0.0000000
## 481 BE21 0.06068730 1 Rarefaction 0 1.000000 0.9137478
## 482 BE21 0.61740609 21 Rarefaction 0 13.115675 11.7045812
## 483 BE21 0.78513848 42 Rarefaction 0 19.201213 17.5049286
## 484 BE21 0.86027063 63 Rarefaction 0 22.873653 20.9493100
## 485 BE21 0.89945220 83 Rarefaction 0 25.261994 23.1238285
## 486 BE21 0.92460260 104 Rarefaction 0 27.101914 24.7343705
## 487 BE21 0.94107230 125 Rarefaction 0 28.509441 25.9081811
## 488 BE21 0.95207513 145 Rarefaction 0 29.577592 26.7450188
## 489 BE21 0.96053051 166 Rarefaction 0 30.494988 27.3986392
## 490 BE21 0.96685128 187 Rarefaction 0 31.257565 27.8497933
## 491 BE21 0.97147344 207 Rarefaction 0 31.874714 28.0790233
## 492 BE21 0.97525788 228 Rarefaction 0 32.434286 28.1891061
## 493 BE21 0.97822502 249 Rarefaction 0 32.922968 28.2482185
## 494 BE21 0.98047226 269 Rarefaction 0 33.336297 28.0757592
## 495 BE21 0.98235909 290 Rarefaction 0 33.726760 27.7968640
## 496 BE21 0.98385983 311 Rarefaction 0 34.081607 27.4997216
## 497 BE21 0.98499541 331 Rarefaction 0 34.393189 27.2685665
## 498 BE21 0.98592822 352 Rarefaction 0 34.698527 27.1049457
## 499 BE21 0.98663102 372 Rarefaction 0 34.979736 27.0218999
## 500 BE21 0.98665963 374 Observed 0 35.000000 27.0273936
## 501 BE21 0.98668818 375 Extrapolation 0 35.013340 27.0266539
## 502 BE21 0.98721918 394 Extrapolation 0 35.261452 26.9960175
## 503 BE21 0.98775527 414 Extrapolation 0 35.511937 26.9601206
## 504 BE21 0.98824370 433 Extrapolation 0 35.740160 26.9243253
## 505 BE21 0.98873682 453 Extrapolation 0 35.970566 26.8858987
## 506 BE21 0.98920924 473 Extrapolation 0 36.191308 26.8476268
## 507 BE21 0.98963968 492 Extrapolation 0 36.392431 26.8113630
## 508 BE21 0.99007424 512 Extrapolation 0 36.595478 26.7718470
## 509 BE21 0.99049057 532 Extrapolation 0 36.790008 26.7314249
## 510 BE21 0.99086990 551 Extrapolation 0 36.967249 26.6925821
## 511 BE21 0.99125286 571 Extrapolation 0 37.146186 26.6515802
## 512 BE21 0.99160178 590 Extrapolation 0 37.309219 26.6128088
## 513 BE21 0.99195403 610 Extrapolation 0 37.473812 26.5723115
## 514 BE21 0.99229152 630 Extrapolation 0 37.631501 26.5327438
## 515 BE21 0.99259901 649 Extrapolation 0 37.775175 26.4954613
## 516 BE21 0.99290944 669 Extrapolation 0 37.920223 26.4568261
## 517 BE21 0.99320685 689 Extrapolation 0 38.059188 26.4189079
## 518 BE21 0.99347782 708 Extrapolation 0 38.185802 26.3836174
## 519 BE21 0.99375139 728 Extrapolation 0 38.313627 26.3472936
## 520 BE21 0.99401349 748 Extrapolation 0 38.436091 26.3118552
## 521 BE22 0.11389760 1 Rarefaction 0 1.000000 0.8759534
## 522 BE22 0.63383206 13 Rarefaction 0 7.899470 6.8242971
## 523 BE22 0.78484421 26 Rarefaction 0 11.603773 10.0721170
## 524 BE22 0.85155042 39 Rarefaction 0 13.950398 12.0316082
## 525 BE22 0.88736372 52 Rarefaction 0 15.644976 13.4439130
## 526 BE22 0.90852845 64 Rarefaction 0 16.872635 14.4882727
## 527 BE22 0.92504806 77 Rarefaction 0 17.957382 15.4208320
## 528 BE22 0.93770177 90 Rarefaction 0 18.852568 16.1775332
## 529 BE22 0.94781145 103 Rarefaction 0 19.599491 16.7749386
## 530 BE22 0.95605909 116 Rarefaction 0 20.226704 17.2251978
## 531 BE22 0.96237501 128 Rarefaction 0 20.718152 17.5181834
## 532 BE22 0.96807363 141 Rarefaction 0 21.171920 17.7018361
## 533 BE22 0.97278365 154 Rarefaction 0 21.557731 17.7376481
## 534 BE22 0.97666412 167 Rarefaction 0 21.887441 17.6531533
## 535 BE22 0.97961802 179 Rarefaction 0 22.150670 17.4809752
## 536 BE22 0.98223039 192 Rarefaction 0 22.399347 17.2867191
## 537 BE22 0.98430687 205 Rarefaction 0 22.617351 17.1386728
## 538 BE22 0.98590600 218 Rarefaction 0 22.811278 17.0245678
## 539 BE22 0.98706897 231 Rarefaction 0 22.983640 16.9767916
## 540 BE22 0.98714318 232 Observed 0 23.000000 16.9792538
## 541 BE22 0.98721696 233 Extrapolation 0 23.012857 16.9780803
## 542 BE22 0.98807002 245 Extrapolation 0 23.161503 16.9554159
## 543 BE22 0.98886616 257 Extrapolation 0 23.300229 16.9306873
## 544 BE22 0.98960916 269 Extrapolation 0 23.429698 16.9048786
## 545 BE22 0.99030258 281 Extrapolation 0 23.550527 16.8788376
## 546 BE22 0.99094973 293 Extrapolation 0 23.663292 16.8532741
## 547 BE22 0.99155369 305 Extrapolation 0 23.768532 16.8283544
## 548 BE22 0.99216258 318 Extrapolation 0 23.874632 16.8022859
## 549 BE22 0.99268560 330 Extrapolation 0 23.965768 16.7781214
## 550 BE22 0.99317372 342 Extrapolation 0 24.050823 16.7543779
## 551 BE22 0.99362927 354 Extrapolation 0 24.130201 16.7312231
## 552 BE22 0.99405441 366 Extrapolation 0 24.204283 16.7087825
## 553 BE22 0.99445118 378 Extrapolation 0 24.273420 16.6871498
## 554 BE22 0.99485120 391 Extrapolation 0 24.343123 16.6647077
## 555 BE22 0.99519480 403 Extrapolation 0 24.402995 16.6449781
## 556 BE22 0.99551547 415 Extrapolation 0 24.458872 16.6263029
## 557 BE22 0.99581474 427 Extrapolation 0 24.511020 16.6082632
## 558 BE22 0.99609404 439 Extrapolation 0 24.559688 16.5921525
## 559 BE22 0.99635470 451 Extrapolation 0 24.605108 16.5764230
## 560 BE22 0.99661749 464 Extrapolation 0 24.650899 16.5603328
## 561 BE23 0.14398109 1 Rarefaction 0 1.000000 0.8909885
## 562 BE23 0.67438601 13 Rarefaction 0 7.303659 6.2894119
## 563 BE23 0.80211093 25 Rarefaction 0 10.396892 8.9752399
## 564 BE23 0.86004708 37 Rarefaction 0 12.413750 10.7153301
## 565 BE23 0.89180865 49 Rarefaction 0 13.902559 11.9972079
## 566 BE23 0.91378586 62 Rarefaction 0 15.168012 13.0654128
## 567 BE23 0.92844610 74 Rarefaction 0 16.118073 13.8170680
## 568 BE23 0.93994475 86 Rarefaction 0 16.910939 14.3596512
## 569 BE23 0.94924853 98 Rarefaction 0 17.578553 14.6950737
## 570 BE23 0.95743028 111 Rarefaction 0 18.187332 14.8014177
## 571 BE23 0.96355586 123 Rarefaction 0 18.663241 14.5682576
## 572 BE23 0.96853028 135 Rarefaction 0 19.072158 13.8501488
## 573 BE23 0.97251859 147 Rarefaction 0 19.426952 12.9824215
## 574 BE23 0.97565663 159 Rarefaction 0 19.738685 12.2428734
## 575 BE23 0.97822831 172 Rarefaction 0 20.038857 11.6587307
## 576 BE23 0.97993955 184 Rarefaction 0 20.290118 11.2999912
## 577 BE23 0.98109522 196 Rarefaction 0 20.523969 11.1143139
## 578 BE23 0.98175904 208 Rarefaction 0 20.746715 11.0959465
## 579 BE23 0.98198198 220 Rarefaction 0 20.968406 11.2358887
## 580 BE23 0.98203617 222 Observed 0 21.000000 11.2470585
## 581 BE23 0.98209020 223 Extrapolation 0 21.017964 11.2461324
## 582 BE23 0.98267387 234 Extrapolation 0 21.212036 11.2328514
## 583 BE23 0.98328894 246 Extrapolation 0 21.416544 11.2140860
## 584 BE23 0.98383354 257 Extrapolation 0 21.597627 11.1957208
## 585 BE23 0.98440744 269 Extrapolation 0 21.788447 11.1747875
## 586 BE23 0.98496096 281 Extrapolation 0 21.972493 11.1532616
## 587 BE23 0.98545108 292 Extrapolation 0 22.135458 11.1333161
## 588 BE23 0.98596756 304 Extrapolation 0 22.307185 11.1116995
## 589 BE23 0.98646570 316 Extrapolation 0 22.472817 11.0902748
## 590 BE23 0.98690678 327 Extrapolation 0 22.619476 11.0717582
## 591 BE23 0.98737157 339 Extrapolation 0 22.774021 11.0507103
## 592 BE23 0.98778313 350 Extrapolation 0 22.910864 11.0311861
## 593 BE23 0.98821682 362 Extrapolation 0 23.055065 11.0097309
## 594 BE23 0.98863511 374 Extrapolation 0 23.194148 10.9882128
## 595 BE23 0.98900549 385 Extrapolation 0 23.317299 10.9684979
## 596 BE23 0.98939579 397 Extrapolation 0 23.447072 10.9470621
## 597 BE23 0.98977223 409 Extrapolation 0 23.572239 10.9257622
## 598 BE23 0.99010555 420 Extrapolation 0 23.683068 10.9063982
## 599 BE23 0.99045679 432 Extrapolation 0 23.799857 10.8854932
## 600 BE23 0.99079557 444 Extrapolation 0 23.912500 10.8648380
## 601 BE24 0.32822193 1 Rarefaction 0 1.000001 0.8684834
## 602 BE24 0.76899938 18 Rarefaction 0 6.864984 5.5314105
## 603 BE24 0.85329053 35 Rarefaction 0 10.030666 8.4369960
## 604 BE24 0.89676414 52 Rarefaction 0 12.141488 10.3520852
## 605 BE24 0.92253699 69 Rarefaction 0 13.673474 11.7472061
## 606 BE24 0.94020765 87 Rarefaction 0 14.906928 12.8855922
## 607 BE24 0.95179681 104 Rarefaction 0 15.825389 13.7349840
## 608 BE24 0.96036233 121 Rarefaction 0 16.572932 14.4152417
## 609 BE24 0.96694561 138 Rarefaction 0 17.191822 14.9631987
## 610 BE24 0.97243795 156 Rarefaction 0 17.738221 15.4293258
## 611 BE24 0.97662723 173 Rarefaction 0 18.172099 15.7755598
## 612 BE24 0.98009597 190 Rarefaction 0 18.540800 16.0139063
## 613 BE24 0.98300766 207 Rarefaction 0 18.855179 16.0413589
## 614 BE24 0.98547700 224 Rarefaction 0 19.123735 15.8767542
## 615 BE24 0.98770162 242 Rarefaction 0 19.365698 15.5896124
## 616 BE24 0.98949886 259 Rarefaction 0 19.560013 15.2668059
## 617 BE24 0.99104790 276 Rarefaction 0 19.725817 14.9642521
## 618 BE24 0.99238278 293 Rarefaction 0 19.867040 14.6728232
## 619 BE24 0.99358974 310 Rarefaction 0 19.989164 14.3885735
## 620 BE24 0.99365099 312 Observed 0 20.000000 14.3790235
## 621 BE24 0.99371165 313 Extrapolation 0 20.006349 14.3648847
## 622 BE24 0.99460702 329 Extrapolation 0 20.100065 14.1485847
## 623 BE24 0.99537491 345 Extrapolation 0 20.180437 13.9585040
## 624 BE24 0.99607135 362 Extrapolation 0 20.253331 13.7828351
## 625 BE24 0.99663074 378 Extrapolation 0 20.311880 13.6401307
## 626 BE24 0.99711047 394 Extrapolation 0 20.362093 13.5164109
## 627 BE24 0.99754558 411 Extrapolation 0 20.407634 13.4015665
## 628 BE24 0.99789505 427 Extrapolation 0 20.444212 13.3085128
## 629 BE24 0.99819477 443 Extrapolation 0 20.475582 13.2281422
## 630 BE24 0.99846660 460 Extrapolation 0 20.504034 13.1548015
## 631 BE24 0.99868493 476 Extrapolation 0 20.526886 13.0955881
## 632 BE24 0.99888296 493 Extrapolation 0 20.547613 13.0416496
## 633 BE24 0.99904201 509 Extrapolation 0 20.564260 12.9981645
## 634 BE24 0.99917841 525 Extrapolation 0 20.578537 12.9607576
## 635 BE24 0.99930213 542 Extrapolation 0 20.591486 12.9267381
## 636 BE24 0.99940149 558 Extrapolation 0 20.601886 12.8993506
## 637 BE24 0.99948671 574 Extrapolation 0 20.610806 12.8758184
## 638 BE24 0.99956400 591 Extrapolation 0 20.618896 12.8544390
## 639 BE24 0.99962608 607 Extrapolation 0 20.625393 12.8372417
## 640 BE24 0.99968239 624 Extrapolation 0 20.631286 12.8216251
## 641 BE25 0.11156453 1 Rarefaction 0 1.000004 0.8692389
## 642 BE25 0.61809147 14 Rarefaction 0 8.523517 7.0855144
## 643 BE25 0.75669055 27 Rarefaction 0 12.536061 10.4722408
## 644 BE25 0.82406428 40 Rarefaction 0 15.249263 12.6979376
## 645 BE25 0.86210389 53 Rarefaction 0 17.287510 14.3746413
## 646 BE25 0.88616946 66 Rarefaction 0 18.925221 15.7378890
## 647 BE25 0.90276711 79 Rarefaction 0 20.299448 16.8903971
## 648 BE25 0.91496256 92 Rarefaction 0 21.486615 17.8833462
## 649 BE25 0.92436761 105 Rarefaction 0 22.533260 18.7426301
## 650 BE25 0.93191280 118 Rarefaction 0 23.469567 19.4781501
## 651 BE25 0.93817443 131 Rarefaction 0 24.315981 20.0984366
## 652 BE25 0.94352879 144 Rarefaction 0 25.086767 20.6260412
## 653 BE25 0.94823277 157 Rarefaction 0 25.792079 21.0736129
## 654 BE25 0.95246863 170 Rarefaction 0 26.439213 21.4158061
## 655 BE25 0.95636962 183 Rarefaction 0 27.033413 21.6058816
## 656 BE25 0.96003419 196 Rarefaction 0 27.578409 21.6576463
## 657 BE25 0.96353391 209 Rarefaction 0 28.076820 21.4671714
## 658 BE25 0.96691767 222 Rarefaction 0 28.530470 21.0128351
## 659 BE25 0.97046414 236 Rarefaction 0 28.967217 20.3295782
## 660 BE25 0.97071234 237 Observed 0 29.000000 20.2801612
## 661 BE25 0.97095845 238 Extrapolation 0 29.029288 20.2261825
## 662 BE25 0.97375538 250 Extrapolation 0 29.362122 19.5791258
## 663 BE25 0.97628294 262 Extrapolation 0 29.662902 18.9618411
## 664 BE25 0.97874718 275 Extrapolation 0 29.956147 18.3225064
## 665 BE25 0.98079400 287 Extrapolation 0 30.199717 17.7660259
## 666 BE25 0.98278953 300 Extrapolation 0 30.437187 17.2042878
## 667 BE25 0.98444704 312 Extrapolation 0 30.634429 16.7270962
## 668 BE25 0.98594491 324 Extrapolation 0 30.812676 16.2864773
## 669 BE25 0.98740526 337 Extrapolation 0 30.986458 15.8483384
## 670 BE25 0.98861823 349 Extrapolation 0 31.130801 15.4829470
## 671 BE25 0.98980081 362 Extrapolation 0 31.271529 15.1207051
## 672 BE25 0.99078308 374 Extrapolation 0 31.388418 14.8168685
## 673 BE25 0.99174073 387 Extrapolation 0 31.502379 14.5182482
## 674 BE25 0.99253616 399 Extrapolation 0 31.597035 14.2685706
## 675 BE25 0.99325499 411 Extrapolation 0 31.682576 14.0417472
## 676 BE25 0.99395581 424 Extrapolation 0 31.765973 13.8195750
## 677 BE25 0.99453791 436 Extrapolation 0 31.835243 13.6343014
## 678 BE25 0.99510543 449 Extrapolation 0 31.902778 13.4530536
## 679 BE25 0.99557682 461 Extrapolation 0 31.958873 13.3020642
## 680 BE25 0.99603639 474 Extrapolation 0 32.013563 13.1544825
## 681 BE26 0.17649032 1 Rarefaction 0 1.000011 0.8615607
## 682 BE26 0.71248632 17 Rarefaction 0 8.294866 6.8258599
## 683 BE26 0.82161090 34 Rarefaction 0 12.173888 10.3173551
## 684 BE26 0.87302787 51 Rarefaction 0 14.750612 12.6051034
## 685 BE26 0.90285857 68 Rarefaction 0 16.650579 14.2527796
## 686 BE26 0.92223509 85 Rarefaction 0 18.136340 15.5078189
## 687 BE26 0.93573896 102 Rarefaction 0 19.343969 16.5040136
## 688 BE26 0.94510913 118 Rarefaction 0 20.298432 17.2763094
## 689 BE26 0.95270880 135 Rarefaction 0 21.167954 17.9728629
## 690 BE26 0.95862308 152 Rarefaction 0 21.922608 18.5757487
## 691 BE26 0.96334193 169 Rarefaction 0 22.586843 19.1025649
## 692 BE26 0.96719787 186 Rarefaction 0 23.178151 19.5591009
## 693 BE26 0.97042646 203 Rarefaction 0 23.709207 19.9403778
## 694 BE26 0.97304684 219 Rarefaction 0 24.162274 20.1991239
## 695 BE26 0.97550935 236 Rarefaction 0 24.600382 20.2607293
## 696 BE26 0.97773520 253 Rarefaction 0 24.998639 20.1877997
## 697 BE26 0.97979580 270 Rarefaction 0 25.360463 20.0423184
## 698 BE26 0.98174177 287 Rarefaction 0 25.688233 19.8117793
## 699 BE26 0.98360656 303 Rarefaction 0 25.973329 19.4793785
## 700 BE26 0.98371370 305 Observed 0 26.000000 19.4689015
## 701 BE26 0.98382015 306 Extrapolation 0 26.016286 19.4471183
## 702 BE26 0.98543170 322 Extrapolation 0 26.262853 19.1025952
## 703 BE26 0.98688273 338 Extrapolation 0 26.484861 18.7584227
## 704 BE26 0.98818924 354 Extrapolation 0 26.684756 18.4309977
## 705 BE26 0.98936561 370 Extrapolation 0 26.864742 18.1205833
## 706 BE26 0.99042482 386 Extrapolation 0 27.026800 17.8338286
## 707 BE26 0.99137853 402 Extrapolation 0 27.172718 17.5685430
## 708 BE26 0.99223724 418 Extrapolation 0 27.304101 17.3231329
## 709 BE26 0.99301043 434 Extrapolation 0 27.422399 17.0972217
## 710 BE26 0.99370660 450 Extrapolation 0 27.528914 16.8900822
## 711 BE26 0.99433344 466 Extrapolation 0 27.624819 16.7011294
## 712 BE26 0.99489784 482 Extrapolation 0 27.711173 16.5292156
## 713 BE26 0.99540602 498 Extrapolation 0 27.788925 16.3730648
## 714 BE26 0.99586359 514 Extrapolation 0 27.858933 16.2314213
## 715 BE26 0.99627559 530 Extrapolation 0 27.921968 16.1030759
## 716 BE26 0.99664655 546 Extrapolation 0 27.978725 15.9868792
## 717 BE26 0.99698056 562 Extrapolation 0 28.029829 15.8817871
## 718 BE26 0.99728130 578 Extrapolation 0 28.075842 15.7868105
## 719 BE26 0.99755209 594 Extrapolation 0 28.117273 15.7010202
## 720 BE26 0.99779591 610 Extrapolation 0 28.154577 15.6235596
## 721 BE27 0.08308635 1 Rarefaction 0 1.000004 0.9108543
## 722 BE27 0.62880853 18 Rarefaction 0 10.875745 9.5032343
## 723 BE27 0.76764436 35 Rarefaction 0 15.893032 13.8012265
## 724 BE27 0.82946971 52 Rarefaction 0 19.289492 16.4918775
## 725 BE27 0.86321009 69 Rarefaction 0 21.893523 18.4101973
## 726 BE27 0.88522295 87 Rarefaction 0 24.154245 19.9798742
## 727 BE27 0.89941483 104 Rarefaction 0 25.985423 21.1757687
## 728 BE27 0.91002167 121 Rarefaction 0 27.606655 22.1547908
## 729 BE27 0.91842870 138 Rarefaction 0 29.066563 22.9502324
## 730 BE27 0.92575202 156 Rarefaction 0 30.470592 23.6197860
## 731 BE27 0.93160818 173 Rarefaction 0 31.684711 24.1024302
## 732 BE27 0.93667686 190 Rarefaction 0 32.805833 24.4133659
## 733 BE27 0.94110356 207 Rarefaction 0 33.846082 24.3359986
## 734 BE27 0.94498420 224 Rarefaction 0 34.815560 23.5776934
## 735 BE27 0.94857320 242 Rarefaction 0 35.774586 22.0020857
## 736 BE27 0.95152591 259 Rarefaction 0 36.624651 20.4306722
## 737 BE27 0.95409683 276 Rarefaction 0 37.427632 18.9247548
## 738 BE27 0.95632134 293 Rarefaction 0 38.189723 17.5690363
## 739 BE27 0.95833333 310 Rarefaction 0 38.917532 16.3172074
## 740 BE27 0.95843614 312 Observed 0 39.000000 16.2974899
## 741 BE27 0.95853869 313 Extrapolation 0 39.041564 16.2368078
## 742 BE27 0.96014551 329 Extrapolation 0 39.692809 15.2734539
## 743 BE27 0.96169006 345 Extrapolation 0 40.318816 14.3295893
## 744 BE27 0.96326561 362 Extrapolation 0 40.957387 13.3511188
## 745 BE27 0.96468925 378 Extrapolation 0 41.534385 12.4559351
## 746 BE27 0.96605771 394 Extrapolation 0 42.089022 11.5933465
## 747 BE27 0.96745363 411 Extrapolation 0 42.654791 10.7156208
## 748 BE27 0.96871496 427 Extrapolation 0 43.166006 9.9331727
## 749 BE27 0.96992740 443 Extrapolation 0 43.657410 9.1705893
## 750 BE27 0.97116418 460 Extrapolation 0 44.158677 8.3780600
## 751 BE27 0.97228171 476 Extrapolation 0 44.611610 7.6609720
## 752 BE27 0.97342166 493 Extrapolation 0 45.073633 6.9172061
## 753 BE27 0.97445170 509 Extrapolation 0 45.491107 6.2378393
## 754 BE27 0.97544182 525 Extrapolation 0 45.892402 5.5825316
## 755 BE27 0.97645181 542 Extrapolation 0 46.301752 4.9067990
## 756 BE27 0.97736441 558 Extrapolation 0 46.671630 4.2916277
## 757 BE27 0.97824165 574 Extrapolation 0 47.027174 3.6965073
## 758 BE27 0.97913649 591 Extrapolation 0 47.389854 3.0858735
## 759 BE27 0.97994505 607 Extrapolation 0 47.717564 2.5312156
## 760 BE27 0.98076984 624 Extrapolation 0 48.051851 1.9627556
## 761 BE28 0.07690575 1 Rarefaction 0 1.000000 0.9138547
## 762 BE28 0.59781719 15 Rarefaction 0 9.699110 8.3832681
## 763 BE28 0.76084622 30 Rarefaction 0 14.392766 12.6690101
## 764 BE28 0.83276122 45 Rarefaction 0 17.418907 15.3982933
## 765 BE28 0.87147042 59 Rarefaction 0 19.488163 17.1807554
## 766 BE28 0.89842546 74 Rarefaction 0 21.213805 18.5795415
## 767 BE28 0.91688642 89 Rarefaction 0 22.600171 19.6371169
## 768 BE28 0.93019342 104 Rarefaction 0 23.748697 20.4756040
## 769 BE28 0.93961588 118 Rarefaction 0 24.662034 21.1286876
## 770 BE28 0.94754955 133 Rarefaction 0 25.509952 21.7304474
## 771 BE28 0.95390878 148 Rarefaction 0 26.250541 22.2407429
## 772 BE28 0.95879774 162 Rarefaction 0 26.863021 22.6033660
## 773 BE28 0.96316970 177 Rarefaction 0 27.449457 22.7858005
## 774 BE28 0.96681914 192 Rarefaction 0 27.975553 22.8165459
## 775 BE28 0.96986874 207 Rarefaction 0 28.451233 22.7861796
## 776 BE28 0.97225314 221 Rarefaction 0 28.857092 22.6791662
## 777 BE28 0.97437953 236 Rarefaction 0 29.257897 22.5678101
## 778 BE28 0.97612038 251 Rarefaction 0 29.629572 22.4920025
## 779 BE28 0.97752809 265 Rarefaction 0 29.963526 22.4494035
## 780 BE28 0.97761225 267 Observed 0 30.000000 22.4633504
## 781 BE28 0.97769610 268 Extrapolation 0 30.022388 22.4640739
## 782 BE28 0.97883755 282 Extrapolation 0 30.327153 22.4551841
## 783 BE28 0.97992058 296 Extrapolation 0 30.616322 22.4402066
## 784 BE28 0.98094818 310 Extrapolation 0 30.890692 22.4215093
## 785 BE28 0.98192319 324 Extrapolation 0 31.151020 22.4003629
## 786 BE28 0.98284831 338 Extrapolation 0 31.398026 22.3751909
## 787 BE28 0.98372608 352 Extrapolation 0 31.632391 22.3468615
## 788 BE28 0.98455893 366 Extrapolation 0 31.854761 22.3162267
## 789 BE28 0.98534915 380 Extrapolation 0 32.065752 22.2840023
## 790 BE28 0.98609894 394 Extrapolation 0 32.265944 22.2508575
## 791 BE28 0.98681035 408 Extrapolation 0 32.455891 22.2172346
## 792 BE28 0.98748536 422 Extrapolation 0 32.636118 22.1834700
## 793 BE28 0.98812582 436 Extrapolation 0 32.807121 22.1498346
## 794 BE28 0.98873350 450 Extrapolation 0 32.969372 22.1161421
## 795 BE28 0.98931008 464 Extrapolation 0 33.123321 22.0838177
## 796 BE28 0.98985716 478 Extrapolation 0 33.269390 22.0517974
## 797 BE28 0.99037624 492 Extrapolation 0 33.407984 22.0205803
## 798 BE28 0.99086875 506 Extrapolation 0 33.539485 21.9902307
## 799 BE28 0.99133606 520 Extrapolation 0 33.664257 21.9608011
## 800 BE28 0.99177946 534 Extrapolation 0 33.782643 21.9323221
## 801 BE29 0.10471721 1 Rarefaction 0 1.000000 0.8826242
## 802 BE29 0.63849125 14 Rarefaction 0 8.453725 7.4177423
## 803 BE29 0.78373281 27 Rarefaction 0 12.155710 11.0376307
## 804 BE29 0.86120259 41 Rarefaction 0 14.623939 13.3002402
## 805 BE29 0.90181055 54 Rarefaction 0 16.162183 14.6301330
## 806 BE29 0.92664943 67 Rarefaction 0 17.277252 15.5547953
## 807 BE29 0.94368648 81 Rarefaction 0 18.184816 16.2857075
## 808 BE29 0.95436775 94 Rarefaction 0 18.848822 16.8132817
## 809 BE29 0.96261576 108 Rarefaction 0 19.431023 17.2767974
## 810 BE29 0.96837592 121 Rarefaction 0 19.880895 17.6386223
## 811 BE29 0.97292530 134 Rarefaction 0 20.263634 17.9498026
## 812 BE29 0.97688041 148 Rarefaction 0 20.616016 18.2394996
## 813 BE29 0.97991798 161 Rarefaction 0 20.897785 18.4735062
## 814 BE29 0.98268381 175 Rarefaction 0 21.160430 18.6822839
## 815 BE29 0.98489608 188 Rarefaction 0 21.371946 18.7849662
## 816 BE29 0.98684432 201 Rarefaction 0 21.556356 18.8355382
## 817 BE29 0.98870945 215 Rarefaction 0 21.728161 18.8468728
## 818 BE29 0.99026362 228 Rarefaction 0 21.865444 18.8210488
## 819 BE29 0.99176955 242 Rarefaction 0 21.988576 18.7893483
## 820 BE29 0.99187033 243 Observed 0 22.000000 18.7892137
## 821 BE29 0.99196988 244 Extrapolation 0 22.008130 18.7852740
## 822 BE29 0.99307350 256 Extrapolation 0 22.098259 18.7376422
## 823 BE29 0.99409861 269 Extrapolation 0 22.181976 18.6883719
## 824 BE29 0.99497200 282 Extrapolation 0 22.253303 18.6436992
## 825 BE29 0.99566303 294 Extrapolation 0 22.309737 18.6071192
## 826 BE29 0.99630489 307 Extrapolation 0 22.362156 18.5722224
## 827 BE29 0.99685176 320 Extrapolation 0 22.406817 18.5408298
## 828 BE29 0.99731769 333 Extrapolation 0 22.444868 18.5128488
## 829 BE29 0.99768634 345 Extrapolation 0 22.474974 18.4899272
## 830 BE29 0.99802876 358 Extrapolation 0 22.502938 18.4680315
## 831 BE29 0.99832050 371 Extrapolation 0 22.526764 18.4489235
## 832 BE29 0.99856906 384 Extrapolation 0 22.547063 18.4323195
## 833 BE29 0.99876572 396 Extrapolation 0 22.563124 18.4189736
## 834 BE29 0.99894839 409 Extrapolation 0 22.578042 18.4064127
## 835 BE29 0.99910403 422 Extrapolation 0 22.590752 18.3955866
## 836 BE29 0.99923663 435 Extrapolation 0 22.601581 18.3862729
## 837 BE29 0.99934154 447 Extrapolation 0 22.610149 18.3788465
## 838 BE29 0.99943899 460 Extrapolation 0 22.618108 18.3719020
## 839 BE29 0.99952202 473 Extrapolation 0 22.624888 18.3659496
## 840 BE29 0.99959276 486 Extrapolation 0 22.630665 18.3608538
## 841 BE3 0.04497226 1 Rarefaction 0 1.000000 0.9783439
## 842 BE3 0.48867636 17 Rarefaction 0 12.399452 11.0769724
## 843 BE3 0.67624361 33 Rarefaction 0 18.989246 17.1134934
## 844 BE3 0.77350764 49 Rarefaction 0 23.367749 21.1030884
## 845 BE3 0.83240496 65 Rarefaction 0 26.515116 23.9427376
## 846 BE3 0.87322655 82 Rarefaction 0 29.013963 26.1668148
## 847 BE3 0.89936903 98 Rarefaction 0 30.833873 27.7548751
## 848 BE3 0.91784320 114 Rarefaction 0 32.297182 28.9974060
## 849 BE3 0.93118731 130 Rarefaction 0 33.506063 29.9842310
## 850 BE3 0.94158892 147 Rarefaction 0 34.588195 30.8201119
## 851 BE3 0.94897040 163 Rarefaction 0 35.464881 31.4586680
## 852 BE3 0.95475163 179 Rarefaction 0 36.236231 31.9941927
## 853 BE3 0.95940849 195 Rarefaction 0 36.924029 32.4471961
## 854 BE3 0.96325862 211 Rarefaction 0 37.543707 32.8251315
## 855 BE3 0.96670337 228 Rarefaction 0 38.139947 33.0526306
## 856 BE3 0.96948973 244 Rarefaction 0 38.651286 32.9934016
## 857 BE3 0.97193655 260 Rarefaction 0 39.120701 32.8161092
## 858 BE3 0.97411467 276 Rarefaction 0 39.553061 32.6077246
## 859 BE3 0.97619048 292 Rarefaction 0 39.958056 32.2985988
## 860 BE3 0.97630600 294 Observed 0 40.000000 32.3004192
## 861 BE3 0.97642096 295 Extrapolation 0 40.023694 32.2804937
## 862 BE3 0.97807997 310 Extrapolation 0 40.365616 31.9816820
## 863 BE3 0.97962226 325 Extrapolation 0 40.683480 31.6636447
## 864 BE3 0.98114794 341 Extrapolation 0 40.997924 31.3293595
## 865 BE3 0.98247436 356 Extrapolation 0 41.271299 31.0066626
## 866 BE3 0.98378651 372 Extrapolation 0 41.541733 30.6665701
## 867 BE3 0.98492728 387 Extrapolation 0 41.776846 30.3552110
## 868 BE3 0.98598779 402 Extrapolation 0 41.995417 30.0544886
## 869 BE3 0.98703689 418 Extrapolation 0 42.211636 29.7479394
## 870 BE3 0.98794897 433 Extrapolation 0 42.399615 29.4747364
## 871 BE3 0.98885123 449 Extrapolation 0 42.585572 29.1990825
## 872 BE3 0.98963565 464 Extrapolation 0 42.747241 28.9555982
## 873 BE3 0.99041163 480 Extrapolation 0 42.907170 28.7116146
## 874 BE3 0.99108626 495 Extrapolation 0 43.046212 28.4971633
## 875 BE3 0.99171343 510 Extrapolation 0 43.175471 28.2960610
## 876 BE3 0.99233385 526 Extrapolation 0 43.303339 28.0956379
## 877 BE3 0.99287323 541 Extrapolation 0 43.414507 27.9202851
## 878 BE3 0.99340682 557 Extrapolation 0 43.524478 27.7458238
## 879 BE3 0.99387071 572 Extrapolation 0 43.620086 27.5932551
## 880 BE3 0.99432961 588 Extrapolation 0 43.714666 27.4415285
## 881 BE30 0.13675934 1 Rarefaction 0 1.000017 0.8883934
## 882 BE30 0.69084723 15 Rarefaction 0 8.070299 6.7062679
## 883 BE30 0.81206004 30 Rarefaction 0 11.723176 9.7931154
## 884 BE30 0.86776595 45 Rarefaction 0 14.106033 11.5981659
## 885 BE30 0.89591355 59 Rarefaction 0 15.756408 12.6497546
## 886 BE30 0.91348925 74 Rarefaction 0 17.183197 13.3556464
## 887 BE30 0.92418871 89 Rarefaction 0 18.399835 13.7811952
## 888 BE30 0.93076970 103 Rarefaction 0 19.415609 14.0776995
## 889 BE30 0.93575362 118 Rarefaction 0 20.417180 14.3843582
## 890 BE30 0.93949814 133 Rarefaction 0 21.353510 14.6958395
## 891 BE30 0.94233593 147 Rarefaction 0 22.181531 14.9783716
## 892 BE30 0.94495353 162 Rarefaction 0 23.027748 15.2502265
## 893 BE30 0.94729956 177 Rarefaction 0 23.836757 15.4871408
## 894 BE30 0.94932979 191 Rarefaction 0 24.561220 15.6667396
## 895 BE30 0.95138528 206 Rarefaction 0 25.306752 15.8047342
## 896 BE30 0.95334522 221 Rarefaction 0 26.022146 15.8738224
## 897 BE30 0.95510129 235 Rarefaction 0 26.663822 15.9064130
## 898 BE30 0.95691039 250 Rarefaction 0 27.324547 15.9206419
## 899 BE30 0.95864662 264 Rarefaction 0 27.935277 15.8981209
## 900 BE30 0.95875980 266 Observed 0 28.000000 15.9212035
## 901 BE30 0.95887267 267 Extrapolation 0 28.041240 15.9162026
## 902 BE30 0.96031218 280 Extrapolation 0 28.567203 15.8907854
## 903 BE30 0.96180613 294 Extrapolation 0 29.113055 15.8483093
## 904 BE30 0.96324385 308 Extrapolation 0 29.638360 15.7930844
## 905 BE30 0.96462744 322 Extrapolation 0 30.143891 15.7294395
## 906 BE30 0.96595896 336 Extrapolation 0 30.630393 15.6618567
## 907 BE30 0.96724035 350 Extrapolation 0 31.098582 15.5913079
## 908 BE30 0.96847351 364 Extrapolation 0 31.549146 15.5078158
## 909 BE30 0.96966024 378 Extrapolation 0 31.982751 15.4165439
## 910 BE30 0.97080231 392 Extrapolation 0 32.400033 15.3195871
## 911 BE30 0.97190138 406 Extrapolation 0 32.801608 15.2128476
## 912 BE30 0.97295909 420 Extrapolation 0 33.188066 15.0988398
## 913 BE30 0.97397698 434 Extrapolation 0 33.559977 14.9797761
## 914 BE30 0.97495655 448 Extrapolation 0 33.917889 14.8567680
## 915 BE30 0.97589925 462 Extrapolation 0 34.262327 14.7315431
## 916 BE30 0.97680646 476 Extrapolation 0 34.593801 14.6064869
## 917 BE30 0.97767953 490 Extrapolation 0 34.912796 14.4877624
## 918 BE30 0.97851973 504 Extrapolation 0 35.219784 14.3718805
## 919 BE30 0.97932830 518 Extrapolation 0 35.515216 14.2544649
## 920 BE30 0.98010643 532 Extrapolation 0 35.799528 14.1362305
## 921 BE4 0.06215005 1 Rarefaction 0 1.000000 0.9773905
## 922 BE4 0.67668576 23 Rarefaction 0 13.387599 12.3600855
## 923 BE4 0.83245343 46 Rarefaction 0 18.785703 17.3696652
## 924 BE4 0.89425700 69 Rarefaction 0 21.872317 20.0477615
## 925 BE4 0.92632697 92 Rarefaction 0 23.916708 21.6977918
## 926 BE4 0.94533766 115 Rarefaction 0 25.384883 22.7972083
## 927 BE4 0.95755552 138 Rarefaction 0 26.498154 23.5548236
## 928 BE4 0.96584106 161 Rarefaction 0 27.377437 24.0576532
## 929 BE4 0.97167392 184 Rarefaction 0 28.095194 24.2867217
## 930 BE4 0.97589497 207 Rarefaction 0 28.697752 23.8920824
## 931 BE4 0.97901707 230 Rarefaction 0 29.216085 22.3366091
## 932 BE4 0.98136906 253 Rarefaction 0 29.671586 20.7797457
## 933 BE4 0.98316847 276 Rarefaction 0 30.079406 19.5683990
## 934 BE4 0.98456145 299 Rarefaction 0 30.450540 18.6627223
## 935 BE4 0.98564665 322 Rarefaction 0 30.793173 18.0175273
## 936 BE4 0.98649055 345 Rarefaction 0 31.113604 17.5627380
## 937 BE4 0.98713778 368 Rarefaction 0 31.416859 17.2694859
## 938 BE4 0.98761825 391 Rarefaction 0 31.707107 17.1190599
## 939 BE4 0.98795181 413 Rarefaction 0 31.977116 17.0917989
## 940 BE4 0.98796344 415 Observed 0 32.000000 17.1036986
## 941 BE4 0.98797506 416 Extrapolation 0 32.012037 17.1057178
## 942 BE4 0.98821647 437 Extrapolation 0 32.262138 17.1354348
## 943 BE4 0.98846418 459 Extrapolation 0 32.518765 17.1646575
## 944 BE4 0.98870668 481 Extrapolation 0 32.769997 17.1929711
## 945 BE4 0.98894408 503 Extrapolation 0 33.015949 17.2205447
## 946 BE4 0.98916604 524 Extrapolation 0 33.245895 17.2463378
## 947 BE4 0.98939379 546 Extrapolation 0 33.481842 17.2729967
## 948 BE4 0.98961675 568 Extrapolation 0 33.712829 17.2995181
## 949 BE4 0.98983502 590 Extrapolation 0 33.938960 17.3262188
## 950 BE4 0.99004871 612 Extrapolation 0 34.160338 17.3536227
## 951 BE4 0.99024849 633 Extrapolation 0 34.367310 17.3816793
## 952 BE4 0.99045348 655 Extrapolation 0 34.579683 17.4162511
## 953 BE4 0.99065416 677 Extrapolation 0 34.787592 17.4428238
## 954 BE4 0.99085063 699 Extrapolation 0 34.991130 17.4684722
## 955 BE4 0.99104296 721 Extrapolation 0 35.190389 17.4932712
## 956 BE4 0.99122278 742 Extrapolation 0 35.376682 17.5162191
## 957 BE4 0.99140729 764 Extrapolation 0 35.567836 17.5395723
## 958 BE4 0.99158793 786 Extrapolation 0 35.754972 17.5622984
## 959 BE4 0.99176476 808 Extrapolation 0 35.938174 17.5844758
## 960 BE4 0.99193788 830 Extrapolation 0 36.117525 17.6061921
## 961 BE5 0.35176229 1 Rarefaction 0 1.000010 0.8757190
## 962 BE5 0.70561256 11 Rarefaction 0 4.931668 3.2997481
## 963 BE5 0.78940782 22 Rarefaction 0 7.721932 6.0678498
## 964 BE5 0.84680118 33 Rarefaction 0 9.731950 7.9925022
## 965 BE5 0.88639406 44 Rarefaction 0 11.206001 9.3659059
## 966 BE5 0.91396158 55 Rarefaction 0 12.308908 10.3611528
## 967 BE5 0.93336106 66 Rarefaction 0 13.152247 11.0845240
## 968 BE5 0.94715820 77 Rarefaction 0 13.812090 11.6063443
## 969 BE5 0.95706396 88 Rarefaction 0 14.340881 11.9713761
## 970 BE5 0.96423172 99 Rarefaction 0 14.775257 12.2013833
## 971 BE5 0.96945379 110 Rarefaction 0 15.141114 12.2682969
## 972 BE5 0.97328841 121 Rarefaction 0 15.456892 12.1793176
## 973 BE5 0.97613936 132 Rarefaction 0 15.735721 12.0580126
## 974 BE5 0.97830520 143 Rarefaction 0 15.986848 11.9643468
## 975 BE5 0.98000924 154 Rarefaction 0 16.216635 11.9166749
## 976 BE5 0.98141829 165 Rarefaction 0 16.429282 11.8554007
## 977 BE5 0.98265471 176 Rarefaction 0 16.627386 11.8050026
## 978 BE5 0.98380479 187 Rarefaction 0 16.812386 11.7569084
## 979 BE5 0.98492462 197 Rarefaction 0 16.974141 11.7489655
## 980 BE5 0.98502546 199 Observed 0 17.000000 11.7590669
## 981 BE5 0.98512563 200 Extrapolation 0 17.014975 11.7529252
## 982 BE5 0.98609115 210 Extrapolation 0 17.159320 11.6968735
## 983 BE5 0.98699399 220 Extrapolation 0 17.294296 11.6424915
## 984 BE5 0.98791959 231 Extrapolation 0 17.432672 11.5863062
## 985 BE5 0.98870375 241 Extrapolation 0 17.549904 11.5401034
## 986 BE5 0.98950766 252 Extrapolation 0 17.670089 11.4984136
## 987 BE5 0.99018874 262 Extrapolation 0 17.771910 11.4814874
## 988 BE5 0.99082560 272 Extrapolation 0 17.867121 11.4380278
## 989 BE5 0.99147851 283 Extrapolation 0 17.964731 11.3918517
## 990 BE5 0.99203166 293 Extrapolation 0 18.047426 11.3515091
## 991 BE5 0.99259874 304 Extrapolation 0 18.132205 11.3090351
## 992 BE5 0.99307917 314 Extrapolation 0 18.204029 11.2721978
## 993 BE5 0.99357170 325 Extrapolation 0 18.277662 11.2336525
## 994 BE5 0.99398897 335 Extrapolation 0 18.340044 11.2004039
## 995 BE5 0.99437916 345 Extrapolation 0 18.398377 11.1688487
## 996 BE5 0.99477917 356 Extrapolation 0 18.458180 11.1360009
## 997 BE5 0.99511806 366 Extrapolation 0 18.508844 11.1074300
## 998 BE5 0.99546549 377 Extrapolation 0 18.560785 11.0789393
## 999 BE5 0.99575984 387 Extrapolation 0 18.604789 11.0540950
## 1000 BE5 0.99606159 398 Extrapolation 0 18.649902 11.0284154
## 1001 BE6 0.16285967 1 Rarefaction 0 1.000012 0.8078982
## 1002 BE6 0.62516067 12 Rarefaction 0 6.975708 5.3144259
## 1003 BE6 0.74446801 23 Rarefaction 0 10.431181 8.1705837
## 1004 BE6 0.81486411 35 Rarefaction 0 13.070097 10.2540014
## 1005 BE6 0.85340244 46 Rarefaction 0 14.898257 11.6435259
## 1006 BE6 0.88068502 58 Rarefaction 0 16.496120 12.8039592
## 1007 BE6 0.89790083 69 Rarefaction 0 17.717361 13.6288575
## 1008 BE6 0.91153340 81 Rarefaction 0 18.863366 14.3270496
## 1009 BE6 0.92098748 92 Rarefaction 0 19.787110 14.8194230
## 1010 BE6 0.92910660 104 Rarefaction 0 20.688741 15.2456773
## 1011 BE6 0.93515474 115 Rarefaction 0 21.437317 15.5799992
## 1012 BE6 0.94024272 126 Rarefaction 0 22.124425 15.8788168
## 1013 BE6 0.94496635 138 Rarefaction 0 22.814778 16.1692588
## 1014 BE6 0.94869527 149 Rarefaction 0 23.401035 16.4080114
## 1015 BE6 0.95221972 161 Rarefaction 0 23.996785 16.6563161
## 1016 BE6 0.95501692 172 Rarefaction 0 24.508026 16.8738925
## 1017 BE6 0.95764300 184 Rarefaction 0 25.032957 17.1161213
## 1018 BE6 0.95968731 195 Rarefaction 0 25.488356 17.3498159
## 1019 BE6 0.96153846 207 Rarefaction 0 25.960598 17.6308813
## 1020 BE6 0.96167731 208 Observed 0 26.000000 17.6577039
## 1021 BE6 0.96181566 209 Extrapolation 0 26.038323 17.6810682
## 1022 BE6 0.96317198 219 Extrapolation 0 26.414022 17.9224711
## 1023 BE6 0.96460835 230 Extrapolation 0 26.811897 18.1770319
## 1024 BE6 0.96598870 241 Extrapolation 0 27.194253 18.4273328
## 1025 BE6 0.96731521 252 Extrapolation 0 27.561697 18.6783101
## 1026 BE6 0.96858998 263 Extrapolation 0 27.914810 18.9046322
## 1027 BE6 0.96981504 274 Extrapolation 0 28.254150 19.1144486
## 1028 BE6 0.97099232 285 Extrapolation 0 28.580256 19.3125111
## 1029 BE6 0.97212368 296 Extrapolation 0 28.893643 19.5012535
## 1030 BE6 0.97321091 307 Extrapolation 0 29.194807 19.6725458
## 1031 BE6 0.97416246 317 Extrapolation 0 29.458387 19.8151799
## 1032 BE6 0.97517018 328 Extrapolation 0 29.737525 19.9599823
## 1033 BE6 0.97613860 339 Extrapolation 0 30.005776 20.0919544
## 1034 BE6 0.97706924 350 Extrapolation 0 30.263565 20.2178240
## 1035 BE6 0.97796359 361 Extrapolation 0 30.511299 20.3297109
## 1036 BE6 0.97882306 372 Extrapolation 0 30.749371 20.4314131
## 1037 BE6 0.97964900 383 Extrapolation 0 30.978158 20.5239843
## 1038 BE6 0.98044273 394 Extrapolation 0 31.198021 20.6083606
## 1039 BE6 0.98120551 405 Extrapolation 0 31.409310 20.6853679
## 1040 BE6 0.98193853 416 Extrapolation 0 31.612358 20.7556941
## 1041 BE7 0.28952439 1 Rarefaction 0 1.000012 0.9510782
## 1042 BE7 0.83973677 30 Rarefaction 0 9.448939 8.2002203
## 1043 BE7 0.90966916 60 Rarefaction 0 13.036943 11.1298567
## 1044 BE7 0.93536280 90 Rarefaction 0 15.324703 12.8434397
## 1045 BE7 0.94870255 120 Rarefaction 0 17.052653 14.0149600
## 1046 BE7 0.95704294 150 Rarefaction 0 18.462130 14.8368372
## 1047 BE7 0.96277406 180 Rarefaction 0 19.662845 15.4571173
## 1048 BE7 0.96693917 210 Rarefaction 0 20.716161 16.0013836
## 1049 BE7 0.97010412 240 Rarefaction 0 21.660100 16.5139477
## 1050 BE7 0.97261278 270 Rarefaction 0 22.519277 17.0006613
## 1051 BE7 0.97461947 299 Rarefaction 0 23.284602 17.4380832
## 1052 BE7 0.97639921 329 Rarefaction 0 24.019588 17.8328600
## 1053 BE7 0.97796738 359 Rarefaction 0 24.704430 18.1568053
## 1054 BE7 0.97938288 389 Rarefaction 0 25.344558 18.4419854
## 1055 BE7 0.98068457 419 Rarefaction 0 25.943951 18.6968985
## 1056 BE7 0.98189892 449 Rarefaction 0 26.505614 18.9221502
## 1057 BE7 0.98304485 479 Rarefaction 0 27.031879 19.1102836
## 1058 BE7 0.98413657 509 Rarefaction 0 27.524583 19.2393090
## 1059 BE7 0.98518519 539 Rarefaction 0 27.984049 19.3180054
## 1060 BE7 0.98521946 540 Observed 0 28.000000 19.3203987
## 1061 BE7 0.98525366 541 Extrapolation 0 28.014781 19.3208054
## 1062 BE7 0.98617975 569 Extrapolation 0 28.415036 19.3225873
## 1063 BE7 0.98704768 597 Extrapolation 0 28.790155 19.2842332
## 1064 BE7 0.98788919 626 Extrapolation 0 29.153854 19.2107739
## 1065 BE7 0.98864976 654 Extrapolation 0 29.482575 19.1143329
## 1066 BE7 0.98936257 682 Extrapolation 0 29.790651 19.0104840
## 1067 BE7 0.99005368 711 Extrapolation 0 30.089348 18.8882807
## 1068 BE7 0.99067832 739 Extrapolation 0 30.359318 18.7630353
## 1069 BE7 0.99126373 767 Extrapolation 0 30.612334 18.6347734
## 1070 BE7 0.99183133 796 Extrapolation 0 30.857647 18.5004545
## 1071 BE7 0.99234433 824 Extrapolation 0 31.079367 18.3754332
## 1072 BE7 0.99284172 853 Extrapolation 0 31.294337 18.2553607
## 1073 BE7 0.99329126 881 Extrapolation 0 31.488633 18.1385574
## 1074 BE7 0.99371258 909 Extrapolation 0 31.670726 18.0210974
## 1075 BE7 0.99412107 938 Extrapolation 0 31.847276 17.9009694
## 1076 BE7 0.99449028 966 Extrapolation 0 32.006846 17.7898270
## 1077 BE7 0.99483629 994 Extrapolation 0 32.156394 17.6836948
## 1078 BE7 0.99517178 1023 Extrapolation 0 32.301391 17.5764245
## 1079 BE7 0.99547500 1051 Extrapolation 0 32.432442 17.4759535
## 1080 BE7 0.99576898 1080 Extrapolation 0 32.559503 17.3755016
## 1081 BE8 0.13857829 1 Rarefaction 0 1.000001 0.8594990
## 1082 BE8 0.60221071 13 Rarefaction 0 7.833930 6.4316961
## 1083 BE8 0.73498327 25 Rarefaction 0 11.798526 10.1157442
## 1084 BE8 0.81267269 37 Rarefaction 0 14.514180 12.6798816
## 1085 BE8 0.86197643 49 Rarefaction 0 16.470223 14.5235646
## 1086 BE8 0.89495371 61 Rarefaction 0 17.932719 15.8915803
## 1087 BE8 0.91789047 73 Rarefaction 0 19.059252 16.9425212
## 1088 BE8 0.93433021 85 Rarefaction 0 19.948933 17.7759907
## 1089 BE8 0.94640008 97 Rarefaction 0 20.667020 18.4421986
## 1090 BE8 0.95544358 109 Rarefaction 0 21.257979 18.9402914
## 1091 BE8 0.96234670 121 Rarefaction 0 21.752903 19.2178122
## 1092 BE8 0.96771483 133 Rarefaction 0 22.173932 19.2713999
## 1093 BE8 0.97197212 145 Rarefaction 0 22.537003 19.0861372
## 1094 BE8 0.97541998 157 Rarefaction 0 22.853691 18.8310596
## 1095 BE8 0.97827310 169 Rarefaction 0 23.132453 18.5328958
## 1096 BE8 0.98068353 181 Rarefaction 0 23.379539 18.2220985
## 1097 BE8 0.98275793 193 Rarefaction 0 23.599635 17.9386000
## 1098 BE8 0.98457089 205 Rarefaction 0 23.796339 17.6708882
## 1099 BE8 0.98630137 218 Rarefaction 0 23.982210 17.4106474
## 1100 BE8 0.98642590 219 Observed 0 24.000000 17.3975828
## 1101 BE8 0.98654930 220 Extrapolation 0 24.013574 17.3796679
## 1102 BE8 0.98783487 231 Extrapolation 0 24.154987 17.1835506
## 1103 BE8 0.98899757 242 Extrapolation 0 24.282883 16.9987208
## 1104 BE8 0.99013960 254 Extrapolation 0 24.408507 16.8115802
## 1105 BE8 0.99108202 265 Extrapolation 0 24.512173 16.6557469
## 1106 BE8 0.99200769 277 Extrapolation 0 24.613997 16.4976987
## 1107 BE8 0.99277157 288 Extrapolation 0 24.698023 16.3647747
## 1108 BE8 0.99352187 300 Extrapolation 0 24.780556 16.2322381
## 1109 BE8 0.99414102 311 Extrapolation 0 24.848663 16.1214704
## 1110 BE8 0.99474918 323 Extrapolation 0 24.915560 16.0115031
## 1111 BE8 0.99525103 334 Extrapolation 0 24.970764 15.9199238
## 1112 BE8 0.99574397 346 Extrapolation 0 25.024987 15.8292874
## 1113 BE8 0.99615074 357 Extrapolation 0 25.069732 15.7540253
## 1114 BE8 0.99655029 369 Extrapolation 0 25.113682 15.6796987
## 1115 BE8 0.99688000 380 Extrapolation 0 25.149951 15.6180727
## 1116 BE8 0.99720385 392 Extrapolation 0 25.185574 15.5572879
## 1117 BE8 0.99747110 403 Extrapolation 0 25.214971 15.5069430
## 1118 BE8 0.99773359 415 Extrapolation 0 25.243846 15.4573316
## 1119 BE8 0.99795021 426 Extrapolation 0 25.267673 15.4162712
## 1120 BE8 0.99816297 438 Extrapolation 0 25.291078 15.3758353
## 1121 BE9 0.06994467 1 Rarefaction 0 1.000000 0.9625662
## 1122 BE9 0.61280390 18 Rarefaction 0 11.347823 10.1674523
## 1123 BE9 0.77559174 35 Rarefaction 0 16.420867 14.5043326
## 1124 BE9 0.84858099 52 Rarefaction 0 19.580956 17.0872480
## 1125 BE9 0.88763739 69 Rarefaction 0 21.812286 18.8148372
## 1126 BE9 0.91132824 86 Rarefaction 0 23.518079 20.0483242
## 1127 BE9 0.92712485 103 Rarefaction 0 24.890987 20.9364184
## 1128 BE9 0.93838890 120 Rarefaction 0 26.034800 21.5452941
## 1129 BE9 0.94677883 137 Rarefaction 0 27.011773 21.9039445
## 1130 BE9 0.95352031 155 Rarefaction 0 27.909686 21.9831158
## 1131 BE9 0.95842169 172 Rarefaction 0 28.658911 21.9751562
## 1132 BE9 0.96225640 189 Rarefaction 0 29.333756 21.9928783
## 1133 BE9 0.96527460 206 Rarefaction 0 29.950244 22.0478873
## 1134 BE9 0.96766469 223 Rarefaction 0 30.520681 22.1173819
## 1135 BE9 0.96957087 240 Rarefaction 0 31.054533 22.1027143
## 1136 BE9 0.97110286 257 Rarefaction 0 31.559108 22.1872283
## 1137 BE9 0.97234201 274 Rarefaction 0 32.040079 22.2445904
## 1138 BE9 0.97334585 291 Rarefaction 0 32.501934 22.3143906
## 1139 BE9 0.97419355 309 Rarefaction 0 32.970210 22.4206823
## 1140 BE9 0.97423524 310 Observed 0 33.000000 22.4325409
## 1141 BE9 0.97427686 311 Extrapolation 0 33.025765 22.4408247
## 1142 BE9 0.97493376 327 Extrapolation 0 33.432386 22.5497269
## 1143 BE9 0.97557389 343 Extrapolation 0 33.828623 22.6427600
## 1144 BE9 0.97619766 359 Extrapolation 0 34.214741 22.7228666
## 1145 BE9 0.97684298 376 Extrapolation 0 34.614193 22.7966143
## 1146 BE9 0.97743435 392 Extrapolation 0 34.980249 22.8552880
## 1147 BE9 0.97801062 408 Extrapolation 0 35.336958 22.9119631
## 1148 BE9 0.97857217 424 Extrapolation 0 35.684557 22.9571572
## 1149 BE9 0.97915311 441 Extrapolation 0 36.044160 22.9971620
## 1150 BE9 0.97968548 457 Extrapolation 0 36.373700 23.0284666
## 1151 BE9 0.98020426 473 Extrapolation 0 36.694823 23.0547007
## 1152 BE9 0.98070979 489 Extrapolation 0 37.007746 23.0732881
## 1153 BE9 0.98123278 506 Extrapolation 0 37.331476 23.0953177
## 1154 BE9 0.98171204 522 Extrapolation 0 37.628140 23.1077349
## 1155 BE9 0.98217907 538 Extrapolation 0 37.917229 23.1159329
## 1156 BE9 0.98263416 554 Extrapolation 0 38.198935 23.1204053
## 1157 BE9 0.98310498 571 Extrapolation 0 38.490369 23.1215641
## 1158 BE9 0.98353643 587 Extrapolation 0 38.757439 23.1196773
## 1159 BE9 0.98395687 603 Extrapolation 0 39.017688 23.1124582
## 1160 BE9 0.98439182 620 Extrapolation 0 39.286925 23.1081839
## qD.UCL
## 1 1.096843
## 2 6.308422
## 3 8.625152
## 4 10.017086
## 5 11.125120
## 6 12.023741
## 7 12.751005
## 8 13.454610
## 9 14.066033
## 10 14.699303
## 11 15.349606
## 12 15.992299
## 13 16.686564
## 14 17.376034
## 15 18.040442
## 16 18.676841
## 17 19.277094
## 18 19.896237
## 19 20.502673
## 20 20.554790
## 21 20.595186
## 22 21.103857
## 23 21.616024
## 24 22.087390
## 25 22.509349
## 26 22.921824
## 27 23.306656
## 28 23.664566
## 29 23.996902
## 30 24.304971
## 31 24.571537
## 32 24.839292
## 33 25.088157
## 34 25.319289
## 35 25.533814
## 36 25.732817
## 37 25.917334
## 38 26.088353
## 39 26.246794
## 40 26.393508
## 41 1.117611
## 42 13.421245
## 43 18.838233
## 44 22.431123
## 45 24.921405
## 46 26.849457
## 47 28.470186
## 48 29.793165
## 49 31.068707
## 50 32.465342
## 51 34.697908
## 52 36.848664
## 53 38.749581
## 54 40.486840
## 55 41.920282
## 56 43.141030
## 57 44.233348
## 58 45.150001
## 59 46.004564
## 60 46.049810
## 61 46.084273
## 62 46.834677
## 63 47.563201
## 64 48.269618
## 65 48.953825
## 66 49.644977
## 67 50.282908
## 68 50.901385
## 69 51.500624
## 70 52.080885
## 71 52.667498
## 72 53.209630
## 73 53.733430
## 74 54.240235
## 75 54.730632
## 76 55.226239
## 77 55.684407
## 78 56.127476
## 79 56.555873
## 80 56.988515
## 81 1.093035
## 82 8.373303
## 83 12.231143
## 84 14.490060
## 85 16.232728
## 86 17.443019
## 87 18.503268
## 88 19.320564
## 89 20.093449
## 90 20.712366
## 91 21.297710
## 92 21.757699
## 93 22.182667
## 94 22.511637
## 95 22.864590
## 96 23.151460
## 97 23.440948
## 98 23.694107
## 99 23.944335
## 100 23.966373
## 101 23.987665
## 102 24.192730
## 103 24.398040
## 104 24.581414
## 105 24.743325
## 106 24.884699
## 107 25.007905
## 108 25.114879
## 109 25.207483
## 110 25.287461
## 111 25.356406
## 112 25.415753
## 113 25.466772
## 114 25.510594
## 115 25.548197
## 116 25.580444
## 117 25.608082
## 118 25.631757
## 119 25.652026
## 120 25.669382
## 121 1.051616
## 122 14.100294
## 123 20.664153
## 124 25.136509
## 125 28.262105
## 126 30.787733
## 127 33.055279
## 128 34.952162
## 129 36.767687
## 130 38.359775
## 131 39.864391
## 132 41.390497
## 133 42.804878
## 134 44.298931
## 135 45.763587
## 136 47.259747
## 137 48.809566
## 138 50.227337
## 139 51.648095
## 140 51.738004
## 141 51.811688
## 142 53.037302
## 143 54.211725
## 144 55.401463
## 145 56.474058
## 146 57.554747
## 147 58.522043
## 148 59.484915
## 149 60.351676
## 150 61.227245
## 151 62.015306
## 152 62.809636
## 153 63.523346
## 154 64.241779
## 155 64.886321
## 156 65.534233
## 157 66.114858
## 158 66.697942
## 159 67.220021
## 160 67.743923
## 161 1.060451
## 162 14.818612
## 163 22.228710
## 164 27.094038
## 165 30.602324
## 166 33.630051
## 167 36.206350
## 168 38.346339
## 169 40.350385
## 170 42.157823
## 171 43.732744
## 172 45.270185
## 173 46.705406
## 174 47.989916
## 175 49.275466
## 176 50.517961
## 177 51.715802
## 178 52.998039
## 179 54.255867
## 180 54.346950
## 181 54.411074
## 182 55.543893
## 183 56.694953
## 184 57.891581
## 185 59.044518
## 186 60.258020
## 187 61.472483
## 188 62.611750
## 189 63.791383
## 190 64.939580
## 191 65.995805
## 192 67.073928
## 193 68.111882
## 194 69.057081
## 195 70.014259
## 196 70.930119
## 197 71.760156
## 198 72.597547
## 199 73.395922
## 200 74.156576
## 201 1.027584
## 202 9.006705
## 203 15.491470
## 204 19.927363
## 205 23.928066
## 206 27.200746
## 207 29.674862
## 208 32.099990
## 209 34.013359
## 210 35.956645
## 211 37.728751
## 212 39.191980
## 213 40.737766
## 214 42.037221
## 215 43.433585
## 216 44.817840
## 217 46.074547
## 218 47.471005
## 219 48.773139
## 220 48.946116
## 221 49.088939
## 222 50.206748
## 223 51.276421
## 224 52.293818
## 225 53.263952
## 226 54.302817
## 227 55.186359
## 228 56.032828
## 229 56.842267
## 230 57.615128
## 231 58.441698
## 232 59.142037
## 233 59.803439
## 234 60.435234
## 235 61.035846
## 236 61.675788
## 237 62.214229
## 238 62.730683
## 239 63.210164
## 240 63.725763
## 241 1.096937
## 242 11.248460
## 243 15.494242
## 244 18.187537
## 245 20.095830
## 246 21.605840
## 247 22.731072
## 248 23.652353
## 249 24.432549
## 250 25.143591
## 251 25.755161
## 252 26.492192
## 253 27.271467
## 254 28.012820
## 255 28.752429
## 256 29.381320
## 257 29.949928
## 258 30.478717
## 259 30.981748
## 260 31.010996
## 261 31.035784
## 262 31.462465
## 263 31.853810
## 264 32.209639
## 265 32.539505
## 266 32.835124
## 267 33.104348
## 268 33.349141
## 269 33.583144
## 270 33.783598
## 271 33.964997
## 272 34.128694
## 273 34.284575
## 274 34.417786
## 275 34.538237
## 276 34.647113
## 277 34.750675
## 278 34.839053
## 279 34.918876
## 280 34.994749
## 281 1.054439
## 282 10.716935
## 283 16.837210
## 284 20.507542
## 285 23.349455
## 286 25.305190
## 287 26.986371
## 288 28.244421
## 289 29.395691
## 290 30.290556
## 291 31.120379
## 292 31.771698
## 293 32.397710
## 294 32.945856
## 295 33.507848
## 296 34.059129
## 297 34.673260
## 298 35.228058
## 299 35.787275
## 300 35.831399
## 301 35.871230
## 302 36.175829
## 303 36.367824
## 304 36.473018
## 305 36.530219
## 306 36.561214
## 307 36.577968
## 308 36.587023
## 309 36.591911
## 310 36.594550
## 311 36.595974
## 312 36.596742
## 313 36.597157
## 314 36.597380
## 315 36.597501
## 316 36.597566
## 317 36.597601
## 318 36.597620
## 319 36.597631
## 320 36.597636
## 321 1.110047
## 322 14.065598
## 323 21.066509
## 324 26.408954
## 325 30.488864
## 326 34.116742
## 327 37.114857
## 328 39.888447
## 329 42.259391
## 330 44.544916
## 331 46.592178
## 332 48.567525
## 333 50.537320
## 334 52.332745
## 335 54.619016
## 336 57.081635
## 337 59.622940
## 338 61.888804
## 339 64.047595
## 340 64.187859
## 341 64.288532
## 342 66.178455
## 343 68.023138
## 344 69.916693
## 345 71.675510
## 346 73.475431
## 347 75.140448
## 348 76.760284
## 349 78.420610
## 350 79.955175
## 351 81.526736
## 352 82.978402
## 353 84.463337
## 354 85.834055
## 355 87.166369
## 356 88.527957
## 357 89.783302
## 358 91.065333
## 359 92.246626
## 360 93.452389
## 361 1.105758
## 362 13.239002
## 363 19.585104
## 364 23.968845
## 365 27.221998
## 366 29.746029
## 367 31.762255
## 368 33.404333
## 369 34.764865
## 370 35.915266
## 371 36.914037
## 372 37.825018
## 373 38.765246
## 374 39.679775
## 375 40.543094
## 376 41.406270
## 377 42.173260
## 378 42.795126
## 379 43.338512
## 380 43.373169
## 381 43.396734
## 382 43.826955
## 383 44.237183
## 384 44.625180
## 385 44.990721
## 386 45.333993
## 387 45.655571
## 388 45.956250
## 389 46.236950
## 390 46.498661
## 391 46.755413
## 392 46.981255
## 393 47.191212
## 394 47.386280
## 395 47.567415
## 396 47.735537
## 397 47.891516
## 398 48.036180
## 399 48.170304
## 400 48.301238
## 401 1.041131
## 402 14.169688
## 403 19.169065
## 404 22.138080
## 405 24.254901
## 406 25.912207
## 407 27.288114
## 408 28.472352
## 409 29.515407
## 410 30.451293
## 411 31.305525
## 412 32.099330
## 413 32.854981
## 414 33.603757
## 415 34.469461
## 416 35.533828
## 417 36.636214
## 418 37.795068
## 419 38.952921
## 420 39.012807
## 421 39.061175
## 422 40.086867
## 423 41.068691
## 424 41.966589
## 425 42.787170
## 426 43.504975
## 427 44.190648
## 428 44.814130
## 429 45.379131
## 430 45.890100
## 431 46.332423
## 432 46.750545
## 433 47.127863
## 434 47.468167
## 435 47.774884
## 436 48.039702
## 437 48.289304
## 438 48.511494
## 439 48.715934
## 440 48.900037
## 441 1.188219
## 442 6.868936
## 443 10.032724
## 444 12.514985
## 445 14.582433
## 446 16.394709
## 447 18.448484
## 448 21.828752
## 449 26.076332
## 450 30.213754
## 451 33.674264
## 452 36.526243
## 453 39.131340
## 454 41.012539
## 455 42.557171
## 456 43.826233
## 457 44.873050
## 458 45.743078
## 459 46.539441
## 460 46.648287
## 461 46.728347
## 462 47.306077
## 463 47.958928
## 464 48.601685
## 465 49.234320
## 466 49.779523
## 467 50.392951
## 468 50.995864
## 469 51.587875
## 470 52.168193
## 471 52.665437
## 472 53.220465
## 473 53.768269
## 474 54.308229
## 475 54.840416
## 476 55.299757
## 477 55.817552
## 478 56.327774
## 479 56.830481
## 480 57.325746
## 481 1.086252
## 482 14.526768
## 483 20.897498
## 484 24.797997
## 485 27.400159
## 486 29.469457
## 487 31.110700
## 488 32.410165
## 489 33.591336
## 490 34.665336
## 491 35.670406
## 492 36.679466
## 493 37.597717
## 494 38.596834
## 495 39.656656
## 496 40.663493
## 497 41.517812
## 498 42.292109
## 499 42.937572
## 500 42.972606
## 501 43.000027
## 502 43.526886
## 503 44.063754
## 504 44.555994
## 505 45.055233
## 506 45.534989
## 507 45.973498
## 508 46.419109
## 509 46.848591
## 510 47.241916
## 511 47.640791
## 512 48.005629
## 513 48.375312
## 514 48.730258
## 515 49.054888
## 516 49.383621
## 517 49.699468
## 518 49.987986
## 519 50.279960
## 520 50.560326
## 521 1.124047
## 522 8.974644
## 523 13.135428
## 524 15.869187
## 525 17.846039
## 526 19.256998
## 527 20.493932
## 528 21.527602
## 529 22.424043
## 530 23.228210
## 531 23.918120
## 532 24.642005
## 533 25.377814
## 534 26.121728
## 535 26.820365
## 536 27.511974
## 537 28.096029
## 538 28.597988
## 539 28.990488
## 540 29.020746
## 541 29.047633
## 542 29.367590
## 543 29.669771
## 544 29.954517
## 545 30.222216
## 546 30.473310
## 547 30.708710
## 548 30.946978
## 549 31.153415
## 550 31.347268
## 551 31.529180
## 552 31.699783
## 553 31.859691
## 554 32.021538
## 555 32.161012
## 556 32.291441
## 557 32.413776
## 558 32.527223
## 559 32.633792
## 560 32.741464
## 561 1.109011
## 562 8.317907
## 563 11.818543
## 564 14.112170
## 565 15.807910
## 566 17.270611
## 567 18.419077
## 568 19.462227
## 569 20.462032
## 570 21.573247
## 571 22.758224
## 572 24.294167
## 573 25.871482
## 574 27.234497
## 575 28.418984
## 576 29.280245
## 577 29.933624
## 578 30.397483
## 579 30.700924
## 580 30.752941
## 581 30.789795
## 582 31.191220
## 583 31.619003
## 584 31.999532
## 585 32.402106
## 586 32.791725
## 587 33.137599
## 588 33.502671
## 589 33.855359
## 590 34.167193
## 591 34.497332
## 592 34.790542
## 593 35.100400
## 594 35.400083
## 595 35.666099
## 596 35.947082
## 597 36.218715
## 598 36.459737
## 599 36.714220
## 600 36.960161
## 601 1.131518
## 602 8.198557
## 603 11.624336
## 604 13.930891
## 605 15.599743
## 606 16.928264
## 607 17.915794
## 608 18.730622
## 609 19.420445
## 610 20.047116
## 611 20.568638
## 612 21.067693
## 613 21.668998
## 614 22.370715
## 615 23.141784
## 616 23.853221
## 617 24.487381
## 618 25.061258
## 619 25.589754
## 620 25.620976
## 621 25.647813
## 622 26.051545
## 623 26.402369
## 624 26.723828
## 625 26.983630
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## 627 27.413701
## 628 27.579911
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## 630 27.853266
## 631 27.958185
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## 633 28.130356
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## 635 28.256234
## 636 28.304422
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## 639 28.413545
## 640 28.440948
## 641 1.130770
## 642 9.961519
## 643 14.599881
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## 645 20.200378
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## 647 23.708500
## 648 25.089885
## 649 26.323891
## 650 27.460984
## 651 28.533525
## 652 29.547493
## 653 30.510546
## 654 31.462620
## 655 32.460944
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## 657 34.686468
## 658 36.048106
## 659 37.604855
## 660 37.719839
## 661 37.832393
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## 663 40.363962
## 664 41.589788
## 665 42.633409
## 666 43.670085
## 667 44.541762
## 668 45.338875
## 669 46.124577
## 670 46.778655
## 671 47.422353
## 672 47.959968
## 673 48.486510
## 674 48.925500
## 675 49.323404
## 676 49.712371
## 677 50.036185
## 678 50.352503
## 679 50.615682
## 680 50.872643
## 681 1.138462
## 682 9.763873
## 683 14.030421
## 684 16.896120
## 685 19.048378
## 686 20.764861
## 687 22.183924
## 688 23.320554
## 689 24.363045
## 690 25.269468
## 691 26.071121
## 692 26.797202
## 693 27.478037
## 694 28.125423
## 695 28.940035
## 696 29.809478
## 697 30.678607
## 698 31.564686
## 699 32.467280
## 700 32.531099
## 701 32.585454
## 702 33.423110
## 703 34.211299
## 704 34.938515
## 705 35.608900
## 706 36.219772
## 707 36.776892
## 708 37.285070
## 709 37.747576
## 710 38.167745
## 711 38.548509
## 712 38.893130
## 713 39.204785
## 714 39.486445
## 715 39.740861
## 716 39.970571
## 717 40.177870
## 718 40.364874
## 719 40.533525
## 720 40.685594
## 721 1.089154
## 722 12.248256
## 723 17.984837
## 724 22.087106
## 725 25.376848
## 726 28.328616
## 727 30.795077
## 728 33.058519
## 729 35.182894
## 730 37.321398
## 731 39.266992
## 732 41.198299
## 733 43.356165
## 734 46.053426
## 735 49.547086
## 736 52.818631
## 737 55.930509
## 738 58.810409
## 739 61.517856
## 740 61.702510
## 741 61.846320
## 742 64.112165
## 743 66.308043
## 744 68.563655
## 745 70.612835
## 746 72.584697
## 747 74.593961
## 748 76.398840
## 749 78.144231
## 750 79.939293
## 751 81.562247
## 752 83.230061
## 753 84.744376
## 754 86.202273
## 755 87.696704
## 756 89.051633
## 757 90.357841
## 758 91.693835
## 759 92.903912
## 760 94.140946
## 761 1.086145
## 762 11.014951
## 763 16.116522
## 764 19.439520
## 765 21.795570
## 766 23.848068
## 767 25.563224
## 768 27.021790
## 769 28.195380
## 770 29.289456
## 771 30.260340
## 772 31.122677
## 773 32.113114
## 774 33.134560
## 775 34.116287
## 776 35.035018
## 777 35.947983
## 778 36.767141
## 779 37.477649
## 780 37.536650
## 781 37.580702
## 782 38.199123
## 783 38.792437
## 784 39.359874
## 785 39.901678
## 786 40.420861
## 787 40.917920
## 788 41.393296
## 789 41.847501
## 790 42.281031
## 791 42.694548
## 792 43.088766
## 793 43.464407
## 794 43.822603
## 795 44.162823
## 796 44.486983
## 797 44.795388
## 798 45.088740
## 799 45.367712
## 800 45.632964
## 801 1.117376
## 802 9.489707
## 803 13.273790
## 804 15.947639
## 805 17.694233
## 806 18.999708
## 807 20.083924
## 808 20.884362
## 809 21.585249
## 810 22.123167
## 811 22.577466
## 812 22.992533
## 813 23.322063
## 814 23.638576
## 815 23.958925
## 816 24.277173
## 817 24.609449
## 818 24.909838
## 819 25.187803
## 820 25.210786
## 821 25.230985
## 822 25.458876
## 823 25.675581
## 824 25.862908
## 825 26.012355
## 826 26.152090
## 827 26.272804
## 828 26.376888
## 829 26.460021
## 830 26.537845
## 831 26.604604
## 832 26.661807
## 833 26.707274
## 834 26.749671
## 835 26.785918
## 836 26.816890
## 837 26.841452
## 838 26.864314
## 839 26.883827
## 840 26.900477
## 841 1.021656
## 842 13.721931
## 843 20.864999
## 844 25.632409
## 845 29.087493
## 846 31.861110
## 847 33.912871
## 848 35.596957
## 849 37.027894
## 850 38.356278
## 851 39.471094
## 852 40.478269
## 853 41.400861
## 854 42.262283
## 855 43.227263
## 856 44.309170
## 857 45.425293
## 858 46.498397
## 859 47.617512
## 860 47.699581
## 861 47.766894
## 862 48.749550
## 863 49.703316
## 864 50.666488
## 865 51.535936
## 866 52.416896
## 867 53.198482
## 868 53.936346
## 869 54.675332
## 870 55.324494
## 871 55.972061
## 872 56.538884
## 873 57.102726
## 874 57.595261
## 875 58.054882
## 876 58.511040
## 877 58.908728
## 878 59.303132
## 879 59.646918
## 880 59.987803
## 881 1.111640
## 882 9.434331
## 883 13.653237
## 884 16.613900
## 885 18.863062
## 886 21.010748
## 887 23.018474
## 888 24.753519
## 889 26.450001
## 890 28.011181
## 891 29.384690
## 892 30.805269
## 893 32.186373
## 894 33.455700
## 895 34.808770
## 896 36.170469
## 897 37.421231
## 898 38.728453
## 899 39.972433
## 900 40.078797
## 901 40.166278
## 902 41.243621
## 903 42.377801
## 904 43.483636
## 905 44.558344
## 906 45.598930
## 907 46.605855
## 908 47.590477
## 909 48.548957
## 910 49.480479
## 911 50.390368
## 912 51.277292
## 913 52.140178
## 914 52.979009
## 915 53.793112
## 916 54.581114
## 917 55.337830
## 918 56.067688
## 919 56.775968
## 920 57.462825
## 921 1.022610
## 922 14.415113
## 923 20.201742
## 924 23.696873
## 925 26.135624
## 926 27.972558
## 927 29.441485
## 928 30.697220
## 929 31.903666
## 930 33.503422
## 931 36.095562
## 932 38.563426
## 933 40.590413
## 934 42.238357
## 935 43.568818
## 936 44.664470
## 937 45.564232
## 938 46.295155
## 939 46.862432
## 940 46.896301
## 941 46.918355
## 942 47.388841
## 943 47.872872
## 944 48.347024
## 945 48.811352
## 946 49.245453
## 947 49.690688
## 948 50.126140
## 949 50.551702
## 950 50.967053
## 951 51.352941
## 952 51.743115
## 953 52.132360
## 954 52.513787
## 955 52.887507
## 956 53.237145
## 957 53.596100
## 958 53.947646
## 959 54.291872
## 960 54.628858
## 961 1.124301
## 962 6.563588
## 963 9.376015
## 964 11.471398
## 965 13.046096
## 966 14.256663
## 967 15.219970
## 968 16.017836
## 969 16.710386
## 970 17.349131
## 971 18.013930
## 972 18.734467
## 973 19.413430
## 974 20.009350
## 975 20.516596
## 976 21.003164
## 977 21.449770
## 978 21.867864
## 979 22.199317
## 980 22.240933
## 981 22.277024
## 982 22.621766
## 983 22.946100
## 984 23.279037
## 985 23.559704
## 986 23.841764
## 987 24.062332
## 988 24.296215
## 989 24.537611
## 990 24.743344
## 991 24.955374
## 992 25.135860
## 993 25.321672
## 994 25.479685
## 995 25.627906
## 996 25.780358
## 997 25.910258
## 998 26.042631
## 999 26.155483
## 1000 26.271388
## 1001 1.192127
## 1002 8.636990
## 1003 12.691777
## 1004 15.886192
## 1005 18.152988
## 1006 20.188281
## 1007 21.805864
## 1008 23.399683
## 1009 24.754798
## 1010 26.131805
## 1011 27.294636
## 1012 28.370033
## 1013 29.460297
## 1014 30.394059
## 1015 31.337254
## 1016 32.142160
## 1017 32.949793
## 1018 33.626897
## 1019 34.290314
## 1020 34.342296
## 1021 34.395577
## 1022 34.905573
## 1023 35.446761
## 1024 35.961174
## 1025 36.445084
## 1026 36.924987
## 1027 37.393852
## 1028 37.848001
## 1029 38.286032
## 1030 38.717068
## 1031 39.101595
## 1032 39.515068
## 1033 39.919598
## 1034 40.309305
## 1035 40.692887
## 1036 41.067329
## 1037 41.432331
## 1038 41.787682
## 1039 42.133252
## 1040 42.469021
## 1041 1.048945
## 1042 10.697658
## 1043 14.944029
## 1044 17.805967
## 1045 20.090346
## 1046 22.087422
## 1047 23.868573
## 1048 25.430939
## 1049 26.806252
## 1050 28.037892
## 1051 29.131120
## 1052 30.206315
## 1053 31.252054
## 1054 32.247130
## 1055 33.191003
## 1056 34.089077
## 1057 34.953474
## 1058 35.809857
## 1059 36.650093
## 1060 36.679601
## 1061 36.708756
## 1062 37.507484
## 1063 38.296076
## 1064 39.096935
## 1065 39.850816
## 1066 40.570817
## 1067 41.290416
## 1068 41.955601
## 1069 42.589894
## 1070 43.214840
## 1071 43.783301
## 1072 44.333314
## 1073 44.838708
## 1074 45.320354
## 1075 45.793582
## 1076 46.223864
## 1077 46.629094
## 1078 47.026357
## 1079 47.388930
## 1080 47.743505
## 1081 1.140502
## 1082 9.236164
## 1083 13.481307
## 1084 16.348477
## 1085 18.416881
## 1086 19.973858
## 1087 21.175983
## 1088 22.121876
## 1089 22.891842
## 1090 23.575666
## 1091 24.287994
## 1092 25.076463
## 1093 25.987869
## 1094 26.876322
## 1095 27.732011
## 1096 28.536979
## 1097 29.260671
## 1098 29.921790
## 1099 30.553772
## 1100 30.602417
## 1101 30.647480
## 1102 31.126422
## 1103 31.567046
## 1104 32.005434
## 1105 32.368600
## 1106 32.730295
## 1107 33.031272
## 1108 33.328874
## 1109 33.575856
## 1110 33.819617
## 1111 34.021604
## 1112 34.220686
## 1113 34.385439
## 1114 34.547666
## 1115 34.681828
## 1116 34.813860
## 1117 34.922999
## 1118 35.030360
## 1119 35.119076
## 1120 35.206320
## 1121 1.037434
## 1122 12.528194
## 1123 18.337401
## 1124 22.074665
## 1125 24.809734
## 1126 26.987833
## 1127 28.845556
## 1128 30.524305
## 1129 32.119602
## 1130 33.836257
## 1131 35.342667
## 1132 36.674633
## 1133 37.852600
## 1134 38.923979
## 1135 40.006351
## 1136 40.930987
## 1137 41.835568
## 1138 42.689477
## 1139 43.519738
## 1140 43.567459
## 1141 43.610705
## 1142 44.315044
## 1143 45.014485
## 1144 45.706615
## 1145 46.431771
## 1146 47.105211
## 1147 47.761953
## 1148 48.411957
## 1149 49.091159
## 1150 49.718933
## 1151 50.334946
## 1152 50.942205
## 1153 51.567634
## 1154 52.148546
## 1155 52.718525
## 1156 53.277465
## 1157 53.859175
## 1158 54.395201
## 1159 54.922919
## 1160 55.465666
## Assemblage Diversity Observed Estimator s.e. LCL
## 1 BE10 Species richness 15.000000 17.656604 5.2838832 15.000000
## 2 BE10 Shannon diversity 4.477834 4.637426 0.4111905 3.831508
## 3 BE10 Simpson diversity 2.522903 2.537541 0.2206080 2.105157
## 4 BE11 Species richness 32.000000 40.978723 12.1186688 32.000000
## 5 BE11 Shannon diversity 15.106089 15.873309 1.0389332 13.837037
## 6 BE11 Simpson diversity 8.586257 8.743437 0.8410422 7.095024
## 7 BE12 Species richness 21.000000 21.663477 3.1741859 21.000000
## 8 BE12 Shannon diversity 12.056420 12.708104 0.9609760 10.824625
## 9 BE12 Simpson diversity 8.084583 8.369657 0.9271768 6.552424
## 10 BE13 Species richness 42.000000 54.035178 13.7833313 42.000000
## 11 BE13 Shannon diversity 23.597320 25.773235 1.4725405 22.887109
## 12 BE13 Simpson diversity 17.905539 18.866212 1.2014571 16.511399
## 13 BE14 Species richness 46.000000 59.960674 12.3297853 46.000000
## 14 BE14 Shannon diversity 24.539775 26.883599 1.6502897 23.649090
## 15 BE14 Simpson diversity 16.693361 17.465451 1.4989352 14.527591
## 16 BE15 Species richness 41.000000 52.994540 11.0193056 41.000000
## 17 BE15 Shannon diversity 29.495851 35.477035 3.0407439 29.517286
## 18 BE15 Simpson diversity 23.275732 27.152993 2.7620146 21.739544
## 19 BE16 Species richness 25.000000 26.495690 3.0122004 25.000000
## 20 BE16 Shannon diversity 12.284503 12.775183 0.7743281 11.257528
## 21 BE16 Simpson diversity 7.426959 7.567114 0.6234107 6.345251
## 22 BE17 Species richness 31.000000 31.082935 2.8380452 31.000000
## 23 BE17 Shannon diversity 22.478066 24.240311 1.5259179 21.249567
## 24 BE17 Simpson diversity 17.691778 19.235398 1.7439206 15.817377
## 25 BE18 Species richness 47.000000 72.530811 18.4683889 47.000000
## 26 BE18 Shannon diversity 19.613692 21.717714 1.6841810 18.416780
## 27 BE18 Simpson diversity 10.576329 10.858120 1.1332943 8.636904
## 28 BE19 Species richness 37.000000 39.658937 5.6139682 37.000000
## 29 BE19 Shannon diversity 18.348002 19.482358 1.2053260 17.119962
## 30 BE19 Simpson diversity 9.926195 10.190623 1.0923752 8.049607
## 31 BE2 Species richness 32.000000 34.993088 6.2696081 32.000000
## 32 BE2 Shannon diversity 17.622988 18.391735 0.8094060 16.805328
## 33 BE2 Simpson diversity 13.375657 13.769197 0.7367718 12.325151
## 34 BE20 Species richness 20.000000 44.335570 20.1488658 20.000000
## 35 BE20 Shannon diversity 7.779758 8.839153 1.2989638 6.293231
## 36 BE20 Simpson diversity 3.955282 4.035871 0.6189173 2.822816
## 37 BE21 Species richness 35.000000 41.233289 6.5158357 35.000000
## 38 BE21 Shannon diversity 21.832030 23.108387 1.1887745 20.778432
## 39 BE21 Simpson diversity 15.823077 16.477912 1.1868561 14.151716
## 40 BE22 Species richness 23.000000 25.240302 4.2963033 23.000000
## 41 BE22 Shannon diversity 12.812872 13.553146 0.9215132 11.747014
## 42 BE22 Simpson diversity 8.494949 8.779817 0.9400604 6.937332
## 43 BE23 Species richness 21.000000 26.972973 7.2820913 21.000000
## 44 BE23 Shannon diversity 10.713187 11.393252 1.0463594 9.342425
## 45 BE23 Simpson diversity 6.764205 6.945357 0.7601762 5.455439
## 46 BE24 Species richness 20.000000 20.664530 3.3429657 20.000000
## 47 BE24 Shannon diversity 6.195198 6.407189 0.5493655 5.330453
## 48 BE24 Simpson diversity 3.026866 3.046722 0.2894437 2.479423
## 49 BE25 Species richness 29.000000 32.485232 8.1481005 29.000000
## 50 BE25 Shannon diversity 14.251109 15.343542 1.1542796 13.081196
## 51 BE25 Simpson diversity 8.672070 8.963462 0.9966166 7.010129
## 52 BE26 Species richness 26.000000 28.491803 6.8412210 26.000000
## 53 BE26 Shannon diversity 10.380759 10.906455 0.8265873 9.286373
## 54 BE26 Simpson diversity 5.580719 5.666096 0.6293228 4.432646
## 55 BE27 Species richness 39.000000 55.845833 15.4806207 39.000000
## 56 BE27 Shannon diversity 18.343938 20.174817 1.3572281 17.514699
## 57 BE27 Simpson diversity 11.624552 12.035723 1.0077976 10.060476
## 58 BE28 Species richness 30.000000 35.977528 8.4449696 30.000000
## 59 BE28 Shannon diversity 17.374372 18.650980 1.2897298 16.123156
## 60 BE28 Simpson diversity 12.443533 13.002929 1.1412450 10.766130
## 61 BE29 Species richness 22.000000 22.663923 3.4136344 22.000000
## 62 BE29 Shannon diversity 13.352550 13.998786 0.9652168 12.106995
## 63 BE29 Simpson diversity 9.224965 9.549529 1.0463894 7.498644
## 64 BE3 Species richness 40.000000 44.883333 15.0162065 40.000000
## 65 BE3 Shannon diversity 27.001927 29.282369 1.6581646 26.032427
## 66 BE3 Simpson diversity 20.738004 22.235932 1.6941767 18.915407
## 67 BE30 Species richness 28.000000 43.068139 15.5790086 28.000000
## 68 BE30 Shannon diversity 11.649885 12.687302 1.0800223 10.570498
## 69 BE30 Simpson diversity 7.142742 7.312241 0.7632264 5.816344
## 70 BE4 Species richness 32.000000 44.469880 10.0514306 32.000000
## 71 BE4 Shannon diversity 20.152640 21.220586 1.0474780 19.167567
## 72 BE4 Simpson diversity 15.525557 16.090092 0.9257880 14.275581
## 73 BE5 Species richness 17.000000 19.238693 4.8370130 17.000000
## 74 BE5 Shannon diversity 5.737908 6.031244 0.6748633 4.708536
## 75 BE5 Simpson diversity 2.816772 2.842857 0.3249637 2.205940
## 76 BE6 Species richness 26.000000 36.615385 7.8502229 26.000000
## 77 BE6 Shannon diversity 11.169507 12.249531 1.1566485 9.982541
## 78 BE6 Simpson diversity 5.992244 6.140331 0.7516773 4.667070
## 79 BE7 Species richness 28.000000 34.388148 10.9293266 28.000000
## 80 BE7 Shannon diversity 7.029619 7.275117 0.4954925 6.303969
## 81 BE7 Simpson diversity 3.438355 3.453980 0.2316975 2.999861
## 82 BE8 Species richness 24.000000 25.493151 4.5385568 24.000000
## 83 BE8 Shannon diversity 12.662098 13.446817 1.1589191 11.175377
## 84 BE8 Simpson diversity 7.016971 7.216143 1.0019548 5.252347
## 85 BE9 Species richness 33.000000 48.948387 17.7702002 33.000000
## 86 BE9 Shannon diversity 19.238117 20.809633 1.2894076 18.282441
## 87 BE9 Simpson diversity 13.708987 14.297015 1.1990893 11.946843
## UCL
## 1 28.012824
## 2 5.443345
## 3 2.969925
## 4 64.730878
## 5 17.909580
## 6 10.391849
## 7 27.884767
## 8 14.591582
## 9 10.186890
## 10 81.050011
## 11 28.659361
## 12 21.221024
## 13 84.126609
## 14 30.118107
## 15 20.403310
## 16 74.591983
## 17 41.436783
## 18 32.566442
## 19 32.399494
## 20 14.292839
## 21 8.788976
## 22 36.645401
## 23 27.231055
## 24 22.653420
## 25 108.728188
## 26 25.018648
## 27 13.079336
## 28 50.662113
## 29 21.844753
## 30 12.331639
## 31 47.281294
## 32 19.978142
## 33 15.213243
## 34 83.826622
## 35 11.385075
## 36 5.248927
## 37 54.004092
## 38 25.438342
## 39 18.804107
## 40 33.660902
## 41 15.359279
## 42 10.622301
## 43 41.245610
## 44 13.444079
## 45 8.435275
## 46 27.216622
## 47 7.483926
## 48 3.614021
## 49 48.455216
## 50 17.605889
## 51 10.916794
## 52 41.900350
## 53 12.526536
## 54 6.899546
## 55 86.187292
## 56 22.834935
## 57 14.010970
## 58 52.529364
## 59 21.178804
## 60 15.239728
## 61 29.354524
## 62 15.890576
## 63 11.600415
## 64 74.314557
## 65 32.532312
## 66 25.556457
## 67 73.602435
## 68 14.804107
## 69 8.808137
## 70 64.170321
## 71 23.273606
## 72 17.904603
## 73 28.719065
## 74 7.353952
## 75 3.479774
## 76 52.001539
## 77 14.516520
## 78 7.613591
## 79 55.809235
## 80 8.246264
## 81 3.908099
## 82 34.388559
## 83 15.718256
## 84 9.179938
## 85 83.777339
## 86 23.336826
## 87 16.647187
### a little workaround to create 29 colours and dot types ####
library(scico)
library(paletteer)
paletteer::paletteer_c("scico::berlin", 29)## <colors>
## #9EB0FFFF #89ADF4FF #73A9EAFF #5CA4DCFF #4799C9FF #3889B2FF #2F789CFF #286886FF #225771FF #1C475CFF #153748FF #122935FF #0F1C24FF #111216FF #180B09FF #220C01FF #2C0E00FF #381000FF #461300FF #561A05FF #68240FFF #7B321CFF #8E422EFF #A05342FF #B36556FF #C5766BFF #D88881FF #EB9A96FF #FFACACFF
my_palette_inext <- paletteer::paletteer_c("scico::berlin", 29)
# Species accumulation curves
ggiNEXT(birds_inext, type=1, facet.var="None") + # not all plots sampled equally
scale_color_manual(values = my_palette_inext) +
scale_fill_manual(values = my_palette_inext) +
scale_shape_manual(values = seq(1:29))# get minimum number of individuals from data
min_abund <- min(birds_inext$DataInfo$n)
bird_data2 <- as.data.frame(bird_data)
str(bird_data2)## 'data.frame': 70 obs. of 29 variables:
## $ BE10: int 0 0 0 0 0 0 0 15 0 0 ...
## $ BE11: int 0 0 0 0 1 0 0 21 0 0 ...
## $ BE12: int 0 0 0 0 0 0 0 4 0 0 ...
## $ BE13: int 0 3 0 4 2 0 0 0 1 0 ...
## $ BE14: int 0 0 0 0 2 2 11 0 1 1 ...
## $ BE15: int 0 2 5 5 0 9 1 0 0 1 ...
## $ BE16: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE17: int 0 0 3 0 0 21 0 0 0 3 ...
## $ BE18: int 1 0 4 0 2 1 0 3 0 1 ...
## $ BE19: int 0 0 0 2 0 0 0 12 0 0 ...
## $ BE2 : int 2 0 0 0 1 0 0 0 0 0 ...
## $ BE20: int 0 0 0 0 0 0 0 4 0 0 ...
## $ BE21: int 1 0 0 1 2 0 0 3 0 0 ...
## $ BE22: int 0 0 0 0 1 0 0 5 0 0 ...
## $ BE23: int 0 0 0 0 0 0 0 5 0 0 ...
## $ BE24: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE25: int 0 0 0 0 3 0 0 12 0 0 ...
## $ BE26: int 0 0 0 0 1 0 0 0 0 0 ...
## $ BE27: int 0 0 0 0 1 0 0 19 0 3 ...
## $ BE28: int 0 0 0 1 0 0 0 0 1 0 ...
## $ BE29: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE3 : int 0 2 0 0 0 0 1 0 0 0 ...
## $ BE30: int 0 0 0 0 1 1 0 0 0 0 ...
## $ BE4 : int 0 0 0 0 4 0 0 0 0 0 ...
## $ BE5 : int 0 0 0 0 0 0 0 5 0 0 ...
## $ BE6 : int 0 0 0 0 0 0 0 2 0 0 ...
## $ BE7 : int 0 0 0 0 0 0 0 37 0 0 ...
## $ BE8 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE9 : int 0 0 0 3 0 0 0 0 0 0 ...
# use 2x minimum number of individuals for rarefaction/extrapolation
birds_estINEXTsize <- estimateD(bird_data, q = 0, datatype = "abundance", base = "size", level = (min_abund * 2),
conf = 0.95)
birds_estINEXTsize## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 BE10 298 Extrapolation 0 0.9875504 15.45303 12.31674 18.58933
## 2 BE11 298 Rarefaction 0 0.9812052 29.99164 27.26469 32.71859
## 3 BE12 298 Extrapolation 0 0.9973627 21.47799 18.97115 23.98482
## 4 BE13 298 Rarefaction 0 0.9563662 40.55495 35.96905 45.14086
## 5 BE14 298 Rarefaction 0 0.9539804 43.52956 37.92093 49.13819
## 6 BE15 298 Extrapolation 0 0.9688270 48.44774 40.91002 55.98547
## 7 BE16 298 Rarefaction 0 0.9888200 24.50655 22.58660 26.42649
## 8 BE17 298 Extrapolation 0 0.9999693 31.08237 28.03350 34.13124
## 9 BE18 298 Rarefaction 0 0.9498872 43.66224 38.27635 49.04814
## 10 BE19 298 Rarefaction 0 0.9846972 36.37941 33.65292 39.10589
## 11 BE2 298 Rarefaction 0 0.9765820 29.49552 26.98122 32.00982
## 12 BE20 298 Extrapolation 0 0.9648219 26.07815 17.18559 34.97071
## 13 BE21 298 Rarefaction 0 0.9829719 33.86571 30.91206 36.81936
## 14 BE22 298 Extrapolation 0 0.9912065 23.70803 20.22622 27.18983
## 15 BE23 298 Extrapolation 0 0.9857117 22.22210 17.54285 26.90134
## 16 BE24 298 Rarefaction 0 0.9927384 19.90441 17.96657 21.84225
## 17 BE25 298 Extrapolation 0 0.9824966 30.40233 26.50594 34.29871
## 18 BE26 298 Rarefaction 0 0.9829562 25.88297 22.33235 29.43359
## 19 BE27 298 Rarefaction 0 0.9569143 38.40692 33.43031 43.38353
## 20 BE28 298 Extrapolation 0 0.9800707 30.65641 26.45721 34.85560
## 21 BE29 298 Extrapolation 0 0.9958716 22.32677 20.24525 24.40828
## 22 BE3 298 Extrapolation 0 0.9767625 40.09409 36.75268 43.43549
## 23 BE30 298 Extrapolation 0 0.9622226 29.26520 23.83858 34.69183
## 24 BE4 298 Rarefaction 0 0.9845079 30.43505 27.44444 33.42565
## 25 BE5 298 Extrapolation 0 0.9922946 18.08674 14.54388 21.62959
## 26 BE6 298 Extrapolation 0 0.9723246 28.94929 22.48322 35.41537
## 27 BE7 298 Rarefaction 0 0.9745556 23.25916 20.47084 26.04748
## 28 BE8 298 Extrapolation 0 0.9934025 24.76742 21.79672 27.73812
## 29 BE9 298 Rarefaction 0 0.9737002 32.68743 28.38361 36.99125
# extract species richness
birds_est_sprich <- as.data.frame(cbind(site = colnames(bird_data),
sp_rich = birds_estINEXTsize$qD))
birds_est_sprich## site sp_rich
## 1 BE10 15.4530328501637
## 2 BE11 29.9916380379789
## 3 BE12 21.4779853454816
## 4 BE13 40.5549538797391
## 5 BE14 43.5295555469924
## 6 BE15 48.4477427535246
## 7 BE16 24.5065491505327
## 8 BE17 31.0823712907411
## 9 BE18 43.6622413155036
## 10 BE19 36.3794068650737
## 11 BE2 29.4955218592629
## 12 BE20 26.0781501489565
## 13 BE21 33.8657074731005
## 14 BE22 23.7080269811234
## 15 BE23 22.2220973005055
## 16 BE24 19.9044088258824
## 17 BE25 30.4023268778697
## 18 BE26 25.8829734412778
## 19 BE27 38.4069200309924
## 20 BE28 30.6564055680879
## 21 BE29 22.3267691780308
## 22 BE3 40.0940884455696
## 23 BE30 29.2652048160577
## 24 BE4 30.4350475265505
## 25 BE5 18.0867385837243
## 26 BE6 28.949294781448
## 27 BE7 23.2591575105719
## 28 BE8 24.7674210668556
## 29 BE9 32.6874308792799
Statistics!!
Question: Does urbanization have an effect on bird diversity?
We are going to run a model with the number of species as response and urbanization variables as explanatory variables.
Load environmental data
env_cov <- read.csv(here("data","data_berlin","animal_data",
"birds_transects_allenvir_100m.csv") )
head(env_cov)## site patch.lu patch.area pop_100m
## 1 BE10 park and green area 4762.0000 240.2320426
## 2 BE11 park and green area 22107.5781 41.9517209
## 3 BE12 park and green area 623.8551 64.4663933
## 4 BE13 park and green area 700876.6900 0.2617629
## 5 BE14 brownfield with meadow, shrubs and trees 1119275.5140 0.1640317
## 6 BE15 farmland 754802.5036 0.2794827
## distance_water impervious_surface light noise open_green temp_cooldown
## 1 887.99534 85.708155200 254.0484 52.66811 0.003755813 -0.4034781
## 2 182.70408 48.086350720 253.5432 61.36624 0.147960262 -0.5058560
## 3 846.25954 56.269183550 253.5924 53.33908 0.116351677 -0.4798068
## 4 89.61534 0.003294742 97.9062 22.78204 0.062367094 -0.7988746
## 5 849.76658 7.314871159 248.0444 35.69318 0.517760575 -0.6104055
## 6 1114.94496 3.692755106 238.8065 62.04909 0.692938283 -0.8771918
## temp_day temp_night tree_cover
## 1 21.85441 13.61666 6.983366
## 2 21.74545 13.03693 22.487329
## 3 21.33945 12.66102 19.374208
## 4 28.82046 16.64645 70.116086
## 5 21.35707 10.84691 36.390875
## 6 30.88368 14.75161 19.789344
## 'data.frame': 29 obs. of 13 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ patch.lu : chr "park and green area" "park and green area" "park and green area" "park and green area" ...
## $ patch.area : num 4762 22108 624 700877 1119276 ...
## $ pop_100m : num 240.232 41.952 64.466 0.262 0.164 ...
## $ distance_water : num 888 182.7 846.3 89.6 849.8 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ light : num 254 253.5 253.6 97.9 248 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
## $ open_green : num 0.00376 0.14796 0.11635 0.06237 0.51776 ...
## $ temp_cooldown : num -0.403 -0.506 -0.48 -0.799 -0.61 ...
## $ temp_day : num 21.9 21.7 21.3 28.8 21.4 ...
## $ temp_night : num 13.6 13 12.7 16.6 10.8 ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## site patch.lu patch.area pop_100m
## Length:29 Length:29 Min. : 624 Min. : 0.000
## Class :character Class :character 1st Qu.: 22108 1st Qu.: 3.397
## Mode :character Mode :character Median : 332616 Median : 41.952
## Mean :1101702 Mean : 69.344
## 3rd Qu.: 700877 3rd Qu.:118.731
## Max. :6995421 Max. :289.615
## distance_water impervious_surface light noise
## Min. : 89.62 Min. : 0.000 Min. : 97.91 Min. :22.78
## 1st Qu.: 308.95 1st Qu.: 7.315 1st Qu.:238.81 1st Qu.:50.24
## Median : 581.60 Median :48.086 Median :253.54 Median :55.76
## Mean : 676.67 Mean :45.063 Mean :234.06 Mean :52.80
## 3rd Qu.: 894.21 3rd Qu.:69.303 3rd Qu.:254.46 3rd Qu.:60.28
## Max. :1616.58 Max. :89.406 Max. :255.00 Max. :65.45
## open_green temp_cooldown temp_day temp_night
## Min. :0.000000 Min. :-0.9972 Min. :19.27 Min. :10.85
## 1st Qu.:0.004748 1st Qu.:-0.7463 1st Qu.:21.75 1st Qu.:12.71
## Median :0.062367 Median :-0.5619 Median :24.36 Median :13.72
## Mean :0.153202 Mean :-0.6014 Mean :24.53 Mean :14.08
## 3rd Qu.:0.147960 3rd Qu.:-0.4798 3rd Qu.:27.12 3rd Qu.:14.75
## Max. :0.998552 Max. :-0.3755 Max. :30.94 Max. :17.48
## tree_cover
## Min. : 0.1246
## 1st Qu.:14.9442
## Median :24.7570
## Mean :30.7382
## 3rd Qu.:37.6015
## Max. :79.3415
We are going to use three variables to define the ubanization gradient: tree cover, imperviousness and noise.
Prepare the data for the model
## [1] "site" "patch.lu" "patch.area"
## [4] "pop_100m" "distance_water" "impervious_surface"
## [7] "light" "noise" "open_green"
## [10] "temp_cooldown" "temp_day" "temp_night"
## [13] "tree_cover"
# Put all data together: add environmental variables to birds data
#my_model_data <- left_join(birds_est_sprich, env_cov, by = "site")
my_model_data <- merge(birds_est_sprich,env_cov,by = "site")
#select response and explanatory variables
#my_model_data <- dplyr::select(my_model_data,
# c(site, sp_rich, tree_cover, impervious_surface, noise))
my_model_data <- my_model_data[, c('site', 'sp_rich', 'tree_cover',
'impervious_surface', 'noise')]
str(my_model_data) # do you also have a chr for sp_rich?## 'data.frame': 29 obs. of 5 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ sp_rich : chr "15.4530328501637" "29.9916380379789" "21.4779853454816" "40.5549538797391" ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
## 'data.frame': 29 obs. of 5 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ sp_rich : num 15.5 30 21.5 40.6 43.5 ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
Define the model
# explore relationships between variables
ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)) +
geom_point() +
geom_smooth()# build linear regression model
birds_model <- glm(sp_rich ~ tree_cover + impervious_surface + noise,
family = "gaussian",
data = my_model_data)
# View results of the model
summary(birds_model)##
## Call:
## glm(formula = sp_rich ~ tree_cover + impervious_surface + noise,
## family = "gaussian", data = my_model_data)
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 38.50520 10.13065 3.801 0.000825 ***
## tree_cover -0.04464 0.08261 -0.540 0.593673
## impervious_surface -0.19014 0.05585 -3.405 0.002240 **
## noise 0.02430 0.16490 0.147 0.884030
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for gaussian family taken to be 43.14488)
##
## Null deviance: 1882.4 on 28 degrees of freedom
## Residual deviance: 1078.6 on 25 degrees of freedom
## AIC: 197.17
##
## Number of Fisher Scoring iterations: 2
# bird diversity decreases with increasing urbanisation
# view the regression line through impervious surface only:
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
geom_point(size=7,alpha=0.5) +
geom_smooth(method = "lm", se = TRUE, col='red') +
xlab('impervious surface')PREDICT the model in Berlin
Load environmental rasters
##
## set working directory for maps, e.g. here geoTiffs ##
tree_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","tree_cover_density_2012_100m_3035.tif"))
imperv_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","imperviousness_2012_100m_3035.tif"))
noise_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","noise_daynight_2017_100m_3035.tif"))
water_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","water_bodies_2010_100m_3035.tif"))
#put all environmental rasters together for the prediction
#many_rasters <- list(x,x)
## this works
my_env_stack <- rast(list(tree_raster, imperv_raster, noise_raster))
# the raster the same name as the variables in the model
names(my_env_stack) <- c("tree_cover", "impervious_surface", "noise")
# the model is fitted with environmental predictor values between 0 and 100
# e.g. tree cover = 88.5 % in a 100*100 m cell
# check: my_model_data
# However, our rasters do not contain decimals (for PC storage and memory reasons)
# so we need to transform them to decimals before we predict our model
# to the whole of Berlin:
my_env_stack_2 <- my_env_stack/100 # correct values of the rastersPredict the model
## class : SpatRaster
## dimensions : 570, 657, 1 (nrow, ncol, nlyr)
## resolution : 100, 100 (x, y)
## extent : 4521040, 4586740, 3243800, 3300800 (xmin, xmax, ymin, ymax)
## coord. ref. : +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs
## source(s) : memory
## name : lyr1
## min value : 16.45406
## max value : 40.44094
sp_rich_pred[sp_rich_pred < 0] <- 0 # Abundance cannot be < 0
# define colors
my_palette <- c("#440154FF", "#2D708EFF", "#56C667FF", "#DCE318FF", "#FDE725FF")
# plot map
plot(sp_rich_pred, col = my_palette, breaks = c(seq(5, 55, by = 10)))
plot(water_raster, col = "darkslategray1", legend=FALSE, add = TRUE)EXTRA INFO
In iNEXT package also calculates asymptotic diversity metrics. The estimated asymptotes area calculated via the functions
ChaoRichness()for q = 0ChaoShannon()for q = 1EstSimpson()for q = 2
For example, to estimate the species richness
## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Girdled 26 43.893 14.306 30.511 96.971
## Logged 37 61.403 18.532 43.502 128.583
Exercise
Some exercises.
###
## Diversity Analysis Exercise
# 1. Load the data
## - 1.1. the bird data 'birds_berlin_exercise_planillo2021.csv' and explore it (use head(), str())
## - 1.2. the environmental data 'birds_transects_allenvir_100m.csv' and explore it
# 2. Estimate alpha diversity:
## - 2.1. Choose the diversity index: q = 1 or q = 2
## - 2.2. Rarefy the samples to the appropriate size and estimate the rarefied values
# 3. Predict Hill number 1 or 2 in Berlin
## - 3.1. Choose environmental variables (up to 3)
## - 3.2. Run model with the diversity values and the environmental variables
## - 3.3. Plot the predictions
#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#
#### for those who like challenges
# 4. Estimate beta diversity:
## 4.1. Jaccard dissimilarity (for each pair of sites)
## 4.2. Bray-Curtis dissimilarity (for each pair of sites)
## 4.3. Compare the output of both beta-diversity metricsSession Info
## [1] "2024-03-15 11:50:28 CET"
## R version 4.3.2 (2023-10-31 ucrt)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 19045)
##
## Matrix products: default
##
##
## locale:
## [1] LC_COLLATE=English_United Kingdom.utf8
## [2] LC_CTYPE=English_United Kingdom.utf8
## [3] LC_MONETARY=English_United Kingdom.utf8
## [4] LC_NUMERIC=C
## [5] LC_TIME=C
##
## time zone: Europe/Berlin
## tzcode source: internal
##
## attached base packages:
## [1] stats4 stats graphics grDevices utils datasets methods
## [8] base
##
## other attached packages:
## [1] paletteer_1.6.0 scico_1.5.0 here_1.0.1 terra_1.7-55
## [5] lubridate_1.9.3 forcats_1.0.0 stringr_1.5.1 dplyr_1.1.4
## [9] purrr_1.0.2 readr_2.1.4 tidyr_1.3.0 tibble_3.2.1
## [13] ggplot2_3.4.4 tidyverse_2.0.0 sads_0.6.3 bbmle_1.0.25.1
## [17] iNEXT_3.0.0 vegan_2.6-4 lattice_0.21-9 permute_0.9-7
## [21] knitr_1.45
##
## loaded via a namespace (and not attached):
## [1] tidyselect_1.2.0 farver_2.1.1 fastmap_1.1.1
## [4] pracma_2.4.4 digest_0.6.33 timechange_0.2.0
## [7] lifecycle_1.0.4 cluster_2.1.4 magrittr_2.0.3
## [10] compiler_4.3.2 rlang_1.1.2 sass_0.4.8
## [13] tools_4.3.2 utf8_1.2.4 yaml_2.3.7
## [16] labeling_0.4.3 plyr_1.8.9 withr_2.5.2
## [19] numDeriv_2016.8-1.1 grid_4.3.2 fansi_1.0.5
## [22] colorspace_2.1-0 scales_1.3.0 MASS_7.3-60
## [25] poweRlaw_0.80.0 cli_3.6.1 mvtnorm_1.2-4
## [28] crayon_1.5.2 rmarkdown_2.25 ragg_1.2.6
## [31] generics_0.1.3 rstudioapi_0.15.0 reshape2_1.4.4
## [34] tzdb_0.4.0 bdsmatrix_1.3-7 cachem_1.0.8
## [37] splines_4.3.2 parallel_4.3.2 rmdformats_1.0.4
## [40] vctrs_0.6.5 Matrix_1.6-4 jsonlite_1.8.8
## [43] VGAM_1.1-10 bookdown_0.38 hms_1.1.3
## [46] systemfonts_1.0.5 poilog_0.4.2 jquerylib_0.1.4
## [49] glue_1.6.2 rematch2_2.1.2 codetools_0.2-19
## [52] stringi_1.8.2 gtable_0.3.4 prismatic_1.1.1
## [55] munsell_0.5.0 pillar_1.9.0 htmltools_0.5.7
## [58] R6_2.5.1 textshaping_0.3.7 rprojroot_2.0.4
## [61] evaluate_0.23 highr_0.10 bslib_0.6.1
## [64] Rcpp_1.0.11 nlme_3.1-163 mgcv_1.9-0
## [67] xfun_0.41 GUILDS_1.4.6 pkgconfig_2.0.3